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Finding the Fourth Proportional to 94.12, 129.76 and 70.76

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Solution

The fourth proportional to 94.12, 129.76 and 70.76 is: 97.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.12 : 129.76 = 70.76 : x
  2. Step 2: Convert to fraction form
    94.12/129.76 = 70.76/x
  3. Step 3: Cross multiply
    94.12x = 129.76 × 70.76
  4. Step 4: Simplify right side
    94.12x = 9,181.82
  5. Step 5: Solve for x
    x = 9,181.82/94.12
  6. Step 6: Final answer
    x = 97.55

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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.