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Finding the Fourth Proportional to 113.50, 156.57 and 72.02

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Solution

The fourth proportional to 113.50, 156.57 and 72.02 is: 99.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 156.57 = 72.02 : x
  2. Step 2: Convert to fraction form
    113.50/156.57 = 72.02/x
  3. Step 3: Cross multiply
    113.50x = 156.57 × 72.02
  4. Step 4: Simplify right side
    113.50x = 11,276.29
  5. Step 5: Solve for x
    x = 11,276.29/113.50
  6. Step 6: Final answer
    x = 99.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.