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Finding the Fourth Proportional to 148.90, 205.42 and 89.86

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Solution

The fourth proportional to 148.90, 205.42 and 89.86 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 205.42 = 89.86 : x
  2. Step 2: Convert to fraction form
    148.90/205.42 = 89.86/x
  3. Step 3: Cross multiply
    148.90x = 205.42 × 89.86
  4. Step 4: Simplify right side
    148.90x = 18,459.04
  5. Step 5: Solve for x
    x = 18,459.04/148.90
  6. Step 6: Final answer
    x = 123.97

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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.