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Finding the Fourth Proportional to 89.49, 134.14 and 48.89

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Solution

The fourth proportional to 89.49, 134.14 and 48.89 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.49 : 134.14 = 48.89 : x
  2. Step 2: Convert to fraction form
    89.49/134.14 = 48.89/x
  3. Step 3: Cross multiply
    89.49x = 134.14 × 48.89
  4. Step 4: Simplify right side
    89.49x = 6,558.10
  5. Step 5: Solve for x
    x = 6,558.10/89.49
  6. Step 6: Final answer
    x = 73.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.