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Finding the Fourth Proportional to 84.14, 125.53 and 75.02

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Solution

The fourth proportional to 84.14, 125.53 and 75.02 is: 111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.14 : 125.53 = 75.02 : x
  2. Step 2: Convert to fraction form
    84.14/125.53 = 75.02/x
  3. Step 3: Cross multiply
    84.14x = 125.53 × 75.02
  4. Step 4: Simplify right side
    84.14x = 9,417.26
  5. Step 5: Solve for x
    x = 9,417.26/84.14
  6. Step 6: Final answer
    x = 111.92

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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.