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Finding the Fourth Proportional to 60.29, 90.32 and 31.30

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Solution

The fourth proportional to 60.29, 90.32 and 31.30 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.29 : 90.32 = 31.30 : x
  2. Step 2: Convert to fraction form
    60.29/90.32 = 31.30/x
  3. Step 3: Cross multiply
    60.29x = 90.32 × 31.30
  4. Step 4: Simplify right side
    60.29x = 2,827.02
  5. Step 5: Solve for x
    x = 2,827.02/60.29
  6. Step 6: Final answer
    x = 46.89

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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.