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Finding the Fourth Proportional to 89.48, 123.64 and 71.97

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Solution

The fourth proportional to 89.48, 123.64 and 71.97 is: 99.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.48 : 123.64 = 71.97 : x
  2. Step 2: Convert to fraction form
    89.48/123.64 = 71.97/x
  3. Step 3: Cross multiply
    89.48x = 123.64 × 71.97
  4. Step 4: Simplify right side
    89.48x = 8,898.37
  5. Step 5: Solve for x
    x = 8,898.37/89.48
  6. Step 6: Final answer
    x = 99.45

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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.