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Finding the Fourth Proportional to 139.86, 208.98 and 85.32

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Solution

The fourth proportional to 139.86, 208.98 and 85.32 is: 127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.86 : 208.98 = 85.32 : x
  2. Step 2: Convert to fraction form
    139.86/208.98 = 85.32/x
  3. Step 3: Cross multiply
    139.86x = 208.98 × 85.32
  4. Step 4: Simplify right side
    139.86x = 17,830.17
  5. Step 5: Solve for x
    x = 17,830.17/139.86
  6. Step 6: Final answer
    x = 127.49

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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.