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Finding the Fourth Proportional to 61.54, 84.71 and 53.65

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Solution

The fourth proportional to 61.54, 84.71 and 53.65 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.54 : 84.71 = 53.65 : x
  2. Step 2: Convert to fraction form
    61.54/84.71 = 53.65/x
  3. Step 3: Cross multiply
    61.54x = 84.71 × 53.65
  4. Step 4: Simplify right side
    61.54x = 4,544.42
  5. Step 5: Solve for x
    x = 4,544.42/61.54
  6. Step 6: Final answer
    x = 73.85

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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.