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Finding the Fourth Proportional to 93.57, 129.13 and 54.24

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Solution

The fourth proportional to 93.57, 129.13 and 54.24 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.57 : 129.13 = 54.24 : x
  2. Step 2: Convert to fraction form
    93.57/129.13 = 54.24/x
  3. Step 3: Cross multiply
    93.57x = 129.13 × 54.24
  4. Step 4: Simplify right side
    93.57x = 7,003.37
  5. Step 5: Solve for x
    x = 7,003.37/93.57
  6. Step 6: Final answer
    x = 74.85

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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.