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Finding the Fourth Proportional to 156.94, 235.20 and 102.08

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Solution

The fourth proportional to 156.94, 235.20 and 102.08 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 235.20 = 102.08 : x
  2. Step 2: Convert to fraction form
    156.94/235.20 = 102.08/x
  3. Step 3: Cross multiply
    156.94x = 235.20 × 102.08
  4. Step 4: Simplify right side
    156.94x = 24,009.22
  5. Step 5: Solve for x
    x = 24,009.22/156.94
  6. Step 6: Final answer
    x = 152.98

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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.