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Finding the Fourth Proportional to 93.47, 129.02 and 56.61

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Solution

The fourth proportional to 93.47, 129.02 and 56.61 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.47 : 129.02 = 56.61 : x
  2. Step 2: Convert to fraction form
    93.47/129.02 = 56.61/x
  3. Step 3: Cross multiply
    93.47x = 129.02 × 56.61
  4. Step 4: Simplify right side
    93.47x = 7,303.54
  5. Step 5: Solve for x
    x = 7,303.54/93.47
  6. Step 6: Final answer
    x = 78.14

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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.