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Finding the Fourth Proportional to 139.24, 208.71 and 62.14

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Solution

The fourth proportional to 139.24, 208.71 and 62.14 is: 93.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 208.71 = 62.14 : x
  2. Step 2: Convert to fraction form
    139.24/208.71 = 62.14/x
  3. Step 3: Cross multiply
    139.24x = 208.71 × 62.14
  4. Step 4: Simplify right side
    139.24x = 12,968.95
  5. Step 5: Solve for x
    x = 12,968.95/139.24
  6. Step 6: Final answer
    x = 93.14

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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.