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Finding the Fourth Proportional to 93.75, 129.31 and 54.91

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Solution

The fourth proportional to 93.75, 129.31 and 54.91 is: 75.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.75 : 129.31 = 54.91 : x
  2. Step 2: Convert to fraction form
    93.75/129.31 = 54.91/x
  3. Step 3: Cross multiply
    93.75x = 129.31 × 54.91
  4. Step 4: Simplify right side
    93.75x = 7,100.41
  5. Step 5: Solve for x
    x = 7,100.41/93.75
  6. Step 6: Final answer
    x = 75.74

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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.