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Finding the Fourth Proportional to 84.32, 116.36 and 55.16

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Solution

The fourth proportional to 84.32, 116.36 and 55.16 is: 76.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 116.36 = 55.16 : x
  2. Step 2: Convert to fraction form
    84.32/116.36 = 55.16/x
  3. Step 3: Cross multiply
    84.32x = 116.36 × 55.16
  4. Step 4: Simplify right side
    84.32x = 6,418.42
  5. Step 5: Solve for x
    x = 6,418.42/84.32
  6. Step 6: Final answer
    x = 76.12

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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.