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Finding the Fourth Proportional to 89.26, 123.12 and 64.62

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Solution

The fourth proportional to 89.26, 123.12 and 64.62 is: 89.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.26 : 123.12 = 64.62 : x
  2. Step 2: Convert to fraction form
    89.26/123.12 = 64.62/x
  3. Step 3: Cross multiply
    89.26x = 123.12 × 64.62
  4. Step 4: Simplify right side
    89.26x = 7,956.01
  5. Step 5: Solve for x
    x = 7,956.01/89.26
  6. Step 6: Final answer
    x = 89.14

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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.