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Finding the Fourth Proportional to 94.56, 130.20 and 89.10

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Solution

The fourth proportional to 94.56, 130.20 and 89.10 is: 122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 130.20 = 89.10 : x
  2. Step 2: Convert to fraction form
    94.56/130.20 = 89.10/x
  3. Step 3: Cross multiply
    94.56x = 130.20 × 89.10
  4. Step 4: Simplify right side
    94.56x = 11,600.82
  5. Step 5: Solve for x
    x = 11,600.82/94.56
  6. Step 6: Final answer
    x = 122.68

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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.