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Finding the Fourth Proportional to 147.36, 220.05 and 129.14

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Solution

The fourth proportional to 147.36, 220.05 and 129.14 is: 192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 220.05 = 129.14 : x
  2. Step 2: Convert to fraction form
    147.36/220.05 = 129.14/x
  3. Step 3: Cross multiply
    147.36x = 220.05 × 129.14
  4. Step 4: Simplify right side
    147.36x = 28,416.16
  5. Step 5: Solve for x
    x = 28,416.16/147.36
  6. Step 6: Final answer
    x = 192.83

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