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Finding the Fourth Proportional to 61.38, 84.66 and 47.58

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Solution

The fourth proportional to 61.38, 84.66 and 47.58 is: 65.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 84.66 = 47.58 : x
  2. Step 2: Convert to fraction form
    61.38/84.66 = 47.58/x
  3. Step 3: Cross multiply
    61.38x = 84.66 × 47.58
  4. Step 4: Simplify right side
    61.38x = 4,028.12
  5. Step 5: Solve for x
    x = 4,028.12/61.38
  6. Step 6: Final answer
    x = 65.63

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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.