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Finding the Fourth Proportional to 89.77, 123.83 and 65.17

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Solution

The fourth proportional to 89.77, 123.83 and 65.17 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.77 : 123.83 = 65.17 : x
  2. Step 2: Convert to fraction form
    89.77/123.83 = 65.17/x
  3. Step 3: Cross multiply
    89.77x = 123.83 × 65.17
  4. Step 4: Simplify right side
    89.77x = 8,069.38
  5. Step 5: Solve for x
    x = 8,069.38/89.77
  6. Step 6: Final answer
    x = 89.89

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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.