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Finding the Fourth Proportional to 61.83, 85.24 and 52.63

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Solution

The fourth proportional to 61.83, 85.24 and 52.63 is: 72.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 85.24 = 52.63 : x
  2. Step 2: Convert to fraction form
    61.83/85.24 = 52.63/x
  3. Step 3: Cross multiply
    61.83x = 85.24 × 52.63
  4. Step 4: Simplify right side
    61.83x = 4,486.18
  5. Step 5: Solve for x
    x = 4,486.18/61.83
  6. Step 6: Final answer
    x = 72.56

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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.