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Finding the Fourth Proportional to 89.06, 133.45 and 48.38

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Solution

The fourth proportional to 89.06, 133.45 and 48.38 is: 72.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 133.45 = 48.38 : x
  2. Step 2: Convert to fraction form
    89.06/133.45 = 48.38/x
  3. Step 3: Cross multiply
    89.06x = 133.45 × 48.38
  4. Step 4: Simplify right side
    89.06x = 6,455.52
  5. Step 5: Solve for x
    x = 6,455.52/89.06
  6. Step 6: Final answer
    x = 72.49

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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.