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Finding the Fourth Proportional to 89.27, 123.17 and 56.50

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Solution

The fourth proportional to 89.27, 123.17 and 56.50 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.27 : 123.17 = 56.50 : x
  2. Step 2: Convert to fraction form
    89.27/123.17 = 56.50/x
  3. Step 3: Cross multiply
    89.27x = 123.17 × 56.50
  4. Step 4: Simplify right side
    89.27x = 6,958.51
  5. Step 5: Solve for x
    x = 6,958.51/89.27
  6. Step 6: Final answer
    x = 77.95

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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.