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Finding the Fourth Proportional to 93.52, 129.09 and 76.88

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Solution

The fourth proportional to 93.52, 129.09 and 76.88 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.52 : 129.09 = 76.88 : x
  2. Step 2: Convert to fraction form
    93.52/129.09 = 76.88/x
  3. Step 3: Cross multiply
    93.52x = 129.09 × 76.88
  4. Step 4: Simplify right side
    93.52x = 9,925.05
  5. Step 5: Solve for x
    x = 9,925.05/93.52
  6. Step 6: Final answer
    x = 106.13

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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.