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Finding the Fourth Proportional to 93.50, 129.06 and 54.71

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Solution

The fourth proportional to 93.50, 129.06 and 54.71 is: 75.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.50 : 129.06 = 54.71 : x
  2. Step 2: Convert to fraction form
    93.50/129.06 = 54.71/x
  3. Step 3: Cross multiply
    93.50x = 129.06 × 54.71
  4. Step 4: Simplify right side
    93.50x = 7,060.87
  5. Step 5: Solve for x
    x = 7,060.87/93.50
  6. Step 6: Final answer
    x = 75.52

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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.