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Finding the Fourth Proportional to 75.16, 112.19 and 66.88

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Solution

The fourth proportional to 75.16, 112.19 and 66.88 is: 99.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.16 : 112.19 = 66.88 : x
  2. Step 2: Convert to fraction form
    75.16/112.19 = 66.88/x
  3. Step 3: Cross multiply
    75.16x = 112.19 × 66.88
  4. Step 4: Simplify right side
    75.16x = 7,503.27
  5. Step 5: Solve for x
    x = 7,503.27/75.16
  6. Step 6: Final answer
    x = 99.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.