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Finding the Fourth Proportional to 147.47, 221.36 and 89.84

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Solution

The fourth proportional to 147.47, 221.36 and 89.84 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 221.36 = 89.84 : x
  2. Step 2: Convert to fraction form
    147.47/221.36 = 89.84/x
  3. Step 3: Cross multiply
    147.47x = 221.36 × 89.84
  4. Step 4: Simplify right side
    147.47x = 19,885.43
  5. Step 5: Solve for x
    x = 19,885.43/147.47
  6. Step 6: Final answer
    x = 134.85

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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.