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Finding the Fourth Proportional to 113.66, 156.89 and 72.23

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Solution

The fourth proportional to 113.66, 156.89 and 72.23 is: 99.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.66 : 156.89 = 72.23 : x
  2. Step 2: Convert to fraction form
    113.66/156.89 = 72.23/x
  3. Step 3: Cross multiply
    113.66x = 156.89 × 72.23
  4. Step 4: Simplify right side
    113.66x = 11,331.02
  5. Step 5: Solve for x
    x = 11,331.02/113.66
  6. Step 6: Final answer
    x = 99.70

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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.