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Finding the Fourth Proportional to 89.10, 123.02 and 61.46

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Solution

The fourth proportional to 89.10, 123.02 and 61.46 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 123.02 = 61.46 : x
  2. Step 2: Convert to fraction form
    89.10/123.02 = 61.46/x
  3. Step 3: Cross multiply
    89.10x = 123.02 × 61.46
  4. Step 4: Simplify right side
    89.10x = 7,560.81
  5. Step 5: Solve for x
    x = 7,560.81/89.10
  6. Step 6: Final answer
    x = 84.86

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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.