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Finding the Fourth Proportional to 61.88, 92.78 and 52.34

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Solution

The fourth proportional to 61.88, 92.78 and 52.34 is: 78.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.88 : 92.78 = 52.34 : x
  2. Step 2: Convert to fraction form
    61.88/92.78 = 52.34/x
  3. Step 3: Cross multiply
    61.88x = 92.78 × 52.34
  4. Step 4: Simplify right side
    61.88x = 4,856.11
  5. Step 5: Solve for x
    x = 4,856.11/61.88
  6. Step 6: Final answer
    x = 78.48

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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.