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Finding the Fourth Proportional to 156.81, 235.46 and 103.05

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Solution

The fourth proportional to 156.81, 235.46 and 103.05 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 235.46 = 103.05 : x
  2. Step 2: Convert to fraction form
    156.81/235.46 = 103.05/x
  3. Step 3: Cross multiply
    156.81x = 235.46 × 103.05
  4. Step 4: Simplify right side
    156.81x = 24,263.64
  5. Step 5: Solve for x
    x = 24,263.64/156.81
  6. Step 6: Final answer
    x = 154.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.