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Finding the Fourth Proportional to 156.80, 235.28 and 102.72

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Solution

The fourth proportional to 156.80, 235.28 and 102.72 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 235.28 = 102.72 : x
  2. Step 2: Convert to fraction form
    156.80/235.28 = 102.72/x
  3. Step 3: Cross multiply
    156.80x = 235.28 × 102.72
  4. Step 4: Simplify right side
    156.80x = 24,167.96
  5. Step 5: Solve for x
    x = 24,167.96/156.80
  6. Step 6: Final answer
    x = 154.13

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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.