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Finding the Fourth Proportional to 93.68, 129.12 and 76.40

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Solution

The fourth proportional to 93.68, 129.12 and 76.40 is: 105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.68 : 129.12 = 76.40 : x
  2. Step 2: Convert to fraction form
    93.68/129.12 = 76.40/x
  3. Step 3: Cross multiply
    93.68x = 129.12 × 76.40
  4. Step 4: Simplify right side
    93.68x = 9,864.77
  5. Step 5: Solve for x
    x = 9,864.77/93.68
  6. Step 6: Final answer
    x = 105.30

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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.