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Finding the Fourth Proportional to 84.13, 116.04 and 56.53

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Solution

The fourth proportional to 84.13, 116.04 and 56.53 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 116.04 = 56.53 : x
  2. Step 2: Convert to fraction form
    84.13/116.04 = 56.53/x
  3. Step 3: Cross multiply
    84.13x = 116.04 × 56.53
  4. Step 4: Simplify right side
    84.13x = 6,559.74
  5. Step 5: Solve for x
    x = 6,559.74/84.13
  6. Step 6: Final answer
    x = 77.97

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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.