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Finding the Fourth Proportional to 84.42, 116.50 and 47.57

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Solution

The fourth proportional to 84.42, 116.50 and 47.57 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.42 : 116.50 = 47.57 : x
  2. Step 2: Convert to fraction form
    84.42/116.50 = 47.57/x
  3. Step 3: Cross multiply
    84.42x = 116.50 × 47.57
  4. Step 4: Simplify right side
    84.42x = 5,541.91
  5. Step 5: Solve for x
    x = 5,541.91/84.42
  6. Step 6: Final answer
    x = 65.65

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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.