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Finding the Fourth Proportional to 93.97, 129.74 and 61.28

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Solution

The fourth proportional to 93.97, 129.74 and 61.28 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 129.74 = 61.28 : x
  2. Step 2: Convert to fraction form
    93.97/129.74 = 61.28/x
  3. Step 3: Cross multiply
    93.97x = 129.74 × 61.28
  4. Step 4: Simplify right side
    93.97x = 7,950.62
  5. Step 5: Solve for x
    x = 7,950.62/93.97
  6. Step 6: Final answer
    x = 84.61

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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.