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Finding the Fourth Proportional to 89.49, 123.51 and 68.53

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Solution

The fourth proportional to 89.49, 123.51 and 68.53 is: 94.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.49 : 123.51 = 68.53 : x
  2. Step 2: Convert to fraction form
    89.49/123.51 = 68.53/x
  3. Step 3: Cross multiply
    89.49x = 123.51 × 68.53
  4. Step 4: Simplify right side
    89.49x = 8,463.80
  5. Step 5: Solve for x
    x = 8,463.80/89.49
  6. Step 6: Final answer
    x = 94.58

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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.