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Finding the Fourth Proportional to 92.90, 139.42 and 32.04

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Solution

The fourth proportional to 92.90, 139.42 and 32.04 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 139.42 = 32.04 : x
  2. Step 2: Convert to fraction form
    92.90/139.42 = 32.04/x
  3. Step 3: Cross multiply
    92.90x = 139.42 × 32.04
  4. Step 4: Simplify right side
    92.90x = 4,466.52
  5. Step 5: Solve for x
    x = 4,466.52/92.90
  6. Step 6: Final answer
    x = 48.08

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