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Finding the Fourth Proportional to 89.16, 123.04 and 51.82

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Solution

The fourth proportional to 89.16, 123.04 and 51.82 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 123.04 = 51.82 : x
  2. Step 2: Convert to fraction form
    89.16/123.04 = 51.82/x
  3. Step 3: Cross multiply
    89.16x = 123.04 × 51.82
  4. Step 4: Simplify right side
    89.16x = 6,375.93
  5. Step 5: Solve for x
    x = 6,375.93/89.16
  6. Step 6: Final answer
    x = 71.51

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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.