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Finding the Fourth Proportional to 139.66, 208.54 and 112.32

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Solution

The fourth proportional to 139.66, 208.54 and 112.32 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.66 : 208.54 = 112.32 : x
  2. Step 2: Convert to fraction form
    139.66/208.54 = 112.32/x
  3. Step 3: Cross multiply
    139.66x = 208.54 × 112.32
  4. Step 4: Simplify right side
    139.66x = 23,423.35
  5. Step 5: Solve for x
    x = 23,423.35/139.66
  6. Step 6: Final answer
    x = 167.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.