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Finding the Fourth Proportional to 113.47, 169.86 and 72.77

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Solution

The fourth proportional to 113.47, 169.86 and 72.77 is: 108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.47 : 169.86 = 72.77 : x
  2. Step 2: Convert to fraction form
    113.47/169.86 = 72.77/x
  3. Step 3: Cross multiply
    113.47x = 169.86 × 72.77
  4. Step 4: Simplify right side
    113.47x = 12,360.14
  5. Step 5: Solve for x
    x = 12,360.14/113.47
  6. Step 6: Final answer
    x = 108.93

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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.