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Finding the Fourth Proportional to 109.90, 151.66 and 60.78

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Solution

The fourth proportional to 109.90, 151.66 and 60.78 is: 83.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 151.66 = 60.78 : x
  2. Step 2: Convert to fraction form
    109.90/151.66 = 60.78/x
  3. Step 3: Cross multiply
    109.90x = 151.66 × 60.78
  4. Step 4: Simplify right side
    109.90x = 9,217.81
  5. Step 5: Solve for x
    x = 9,217.81/109.90
  6. Step 6: Final answer
    x = 83.88

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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.