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Finding the Fourth Proportional to 60.31, 90.34 and 31.75

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Solution

The fourth proportional to 60.31, 90.34 and 31.75 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.31 : 90.34 = 31.75 : x
  2. Step 2: Convert to fraction form
    60.31/90.34 = 31.75/x
  3. Step 3: Cross multiply
    60.31x = 90.34 × 31.75
  4. Step 4: Simplify right side
    60.31x = 2,868.30
  5. Step 5: Solve for x
    x = 2,868.30/60.31
  6. Step 6: Final answer
    x = 47.56

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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.