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Finding the Fourth Proportional to 89.34, 133.91 and 63.53

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Solution

The fourth proportional to 89.34, 133.91 and 63.53 is: 95.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 133.91 = 63.53 : x
  2. Step 2: Convert to fraction form
    89.34/133.91 = 63.53/x
  3. Step 3: Cross multiply
    89.34x = 133.91 × 63.53
  4. Step 4: Simplify right side
    89.34x = 8,506.32
  5. Step 5: Solve for x
    x = 8,506.32/89.34
  6. Step 6: Final answer
    x = 95.21

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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.