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Finding the Fourth Proportional to 61.76, 85.05 and 52.96

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Solution

The fourth proportional to 61.76, 85.05 and 52.96 is: 72.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.05 = 52.96 : x
  2. Step 2: Convert to fraction form
    61.76/85.05 = 52.96/x
  3. Step 3: Cross multiply
    61.76x = 85.05 × 52.96
  4. Step 4: Simplify right side
    61.76x = 4,504.04
  5. Step 5: Solve for x
    x = 4,504.04/61.76
  6. Step 6: Final answer
    x = 72.93

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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.