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Finding the Fourth Proportional to 93.47, 129.00 and 54.66

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Solution

The fourth proportional to 93.47, 129.00 and 54.66 is: 75.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.47 : 129.00 = 54.66 : x
  2. Step 2: Convert to fraction form
    93.47/129.00 = 54.66/x
  3. Step 3: Cross multiply
    93.47x = 129.00 × 54.66
  4. Step 4: Simplify right side
    93.47x = 7,050.40
  5. Step 5: Solve for x
    x = 7,050.40/93.47
  6. Step 6: Final answer
    x = 75.43

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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.