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Finding the Fourth Proportional to 93.76, 129.40 and 54.94

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Solution

The fourth proportional to 93.76, 129.40 and 54.94 is: 75.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 129.40 = 54.94 : x
  2. Step 2: Convert to fraction form
    93.76/129.40 = 54.94/x
  3. Step 3: Cross multiply
    93.76x = 129.40 × 54.94
  4. Step 4: Simplify right side
    93.76x = 7,109.24
  5. Step 5: Solve for x
    x = 7,109.24/93.76
  6. Step 6: Final answer
    x = 75.82

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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.