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Finding the Fourth Proportional to 109.97, 151.69 and 73.16

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Solution

The fourth proportional to 109.97, 151.69 and 73.16 is: 100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 151.69 = 73.16 : x
  2. Step 2: Convert to fraction form
    109.97/151.69 = 73.16/x
  3. Step 3: Cross multiply
    109.97x = 151.69 × 73.16
  4. Step 4: Simplify right side
    109.97x = 11,097.64
  5. Step 5: Solve for x
    x = 11,097.64/109.97
  6. Step 6: Final answer
    x = 100.92

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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.