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Finding the Fourth Proportional to 84.16, 125.88 and 74.14

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Solution

The fourth proportional to 84.16, 125.88 and 74.14 is: 110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 125.88 = 74.14 : x
  2. Step 2: Convert to fraction form
    84.16/125.88 = 74.14/x
  3. Step 3: Cross multiply
    84.16x = 125.88 × 74.14
  4. Step 4: Simplify right side
    84.16x = 9,332.74
  5. Step 5: Solve for x
    x = 9,332.74/84.16
  6. Step 6: Final answer
    x = 110.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.