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Finding the Fourth Proportional to 84.42, 116.31 and 56.74

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Solution

The fourth proportional to 84.42, 116.31 and 56.74 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.42 : 116.31 = 56.74 : x
  2. Step 2: Convert to fraction form
    84.42/116.31 = 56.74/x
  3. Step 3: Cross multiply
    84.42x = 116.31 × 56.74
  4. Step 4: Simplify right side
    84.42x = 6,599.43
  5. Step 5: Solve for x
    x = 6,599.43/84.42
  6. Step 6: Final answer
    x = 78.17

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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.