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Finding the Fourth Proportional to 61.23, 84.42 and 52

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Solution

The fourth proportional to 61.23, 84.42 and 52 is: 71.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.23 : 84.42 = 52 : x
  2. Step 2: Convert to fraction form
    61.23/84.42 = 52/x
  3. Step 3: Cross multiply
    61.23x = 84.42 × 52
  4. Step 4: Simplify right side
    61.23x = 4,389.84
  5. Step 5: Solve for x
    x = 4,389.84/61.23
  6. Step 6: Final answer
    x = 71.69

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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.