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Finding the Fourth Proportional to 129, 192.60 and 115.32

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Solution

The fourth proportional to 129, 192.60 and 115.32 is: 172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 192.60 = 115.32 : x
  2. Step 2: Convert to fraction form
    129/192.60 = 115.32/x
  3. Step 3: Cross multiply
    129x = 192.60 × 115.32
  4. Step 4: Simplify right side
    129x = 22,210.63
  5. Step 5: Solve for x
    x = 22,210.63/129
  6. Step 6: Final answer
    x = 172.18

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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.