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Finding the Fourth Proportional to 61.68, 92.43 and 52.02

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Solution

The fourth proportional to 61.68, 92.43 and 52.02 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.68 : 92.43 = 52.02 : x
  2. Step 2: Convert to fraction form
    61.68/92.43 = 52.02/x
  3. Step 3: Cross multiply
    61.68x = 92.43 × 52.02
  4. Step 4: Simplify right side
    61.68x = 4,808.21
  5. Step 5: Solve for x
    x = 4,808.21/61.68
  6. Step 6: Final answer
    x = 77.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.