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Finding the Fourth Proportional to 147.86, 221.16 and 86.84

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Solution

The fourth proportional to 147.86, 221.16 and 86.84 is: 129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 221.16 = 86.84 : x
  2. Step 2: Convert to fraction form
    147.86/221.16 = 86.84/x
  3. Step 3: Cross multiply
    147.86x = 221.16 × 86.84
  4. Step 4: Simplify right side
    147.86x = 19,205.53
  5. Step 5: Solve for x
    x = 19,205.53/147.86
  6. Step 6: Final answer
    x = 129.89

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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.