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Finding the Fourth Proportional to 89.26, 123.15 and 64.75

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Solution

The fourth proportional to 89.26, 123.15 and 64.75 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.26 : 123.15 = 64.75 : x
  2. Step 2: Convert to fraction form
    89.26/123.15 = 64.75/x
  3. Step 3: Cross multiply
    89.26x = 123.15 × 64.75
  4. Step 4: Simplify right side
    89.26x = 7,973.96
  5. Step 5: Solve for x
    x = 7,973.96/89.26
  6. Step 6: Final answer
    x = 89.33

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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.