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Finding the Fourth Proportional to 148.98, 205.58 and 83.50

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Solution

The fourth proportional to 148.98, 205.58 and 83.50 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.98 : 205.58 = 83.50 : x
  2. Step 2: Convert to fraction form
    148.98/205.58 = 83.50/x
  3. Step 3: Cross multiply
    148.98x = 205.58 × 83.50
  4. Step 4: Simplify right side
    148.98x = 17,165.93
  5. Step 5: Solve for x
    x = 17,165.93/148.98
  6. Step 6: Final answer
    x = 115.22

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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.