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Finding the Fourth Proportional to 147.21, 220.33 and 101.53

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Solution

The fourth proportional to 147.21, 220.33 and 101.53 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.21 : 220.33 = 101.53 : x
  2. Step 2: Convert to fraction form
    147.21/220.33 = 101.53/x
  3. Step 3: Cross multiply
    147.21x = 220.33 × 101.53
  4. Step 4: Simplify right side
    147.21x = 22,370.10
  5. Step 5: Solve for x
    x = 22,370.10/147.21
  6. Step 6: Final answer
    x = 151.96

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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.