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Finding the Fourth Proportional to 93.72, 129.45 and 77.18

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Solution

The fourth proportional to 93.72, 129.45 and 77.18 is: 106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.72 : 129.45 = 77.18 : x
  2. Step 2: Convert to fraction form
    93.72/129.45 = 77.18/x
  3. Step 3: Cross multiply
    93.72x = 129.45 × 77.18
  4. Step 4: Simplify right side
    93.72x = 9,990.30
  5. Step 5: Solve for x
    x = 9,990.30/93.72
  6. Step 6: Final answer
    x = 106.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.