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Finding the Fourth Proportional to 113.97, 157.28 and 72.52

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Solution

The fourth proportional to 113.97, 157.28 and 72.52 is: 100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 157.28 = 72.52 : x
  2. Step 2: Convert to fraction form
    113.97/157.28 = 72.52/x
  3. Step 3: Cross multiply
    113.97x = 157.28 × 72.52
  4. Step 4: Simplify right side
    113.97x = 11,405.95
  5. Step 5: Solve for x
    x = 11,405.95/113.97
  6. Step 6: Final answer
    x = 100.08

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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.