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Finding the Fourth Proportional to 139.40, 208.96 and 58.16

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Solution

The fourth proportional to 139.40, 208.96 and 58.16 is: 87.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 208.96 = 58.16 : x
  2. Step 2: Convert to fraction form
    139.40/208.96 = 58.16/x
  3. Step 3: Cross multiply
    139.40x = 208.96 × 58.16
  4. Step 4: Simplify right side
    139.40x = 12,153.11
  5. Step 5: Solve for x
    x = 12,153.11/139.40
  6. Step 6: Final answer
    x = 87.18

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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.