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Finding the Fourth Proportional to 129.17, 193.26 and 93.02

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Solution

The fourth proportional to 129.17, 193.26 and 93.02 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.17 : 193.26 = 93.02 : x
  2. Step 2: Convert to fraction form
    129.17/193.26 = 93.02/x
  3. Step 3: Cross multiply
    129.17x = 193.26 × 93.02
  4. Step 4: Simplify right side
    129.17x = 17,976.08
  5. Step 5: Solve for x
    x = 17,976.08/129.17
  6. Step 6: Final answer
    x = 139.17

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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.