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Finding the Fourth Proportional to 148.75, 205.21 and 116.10

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Solution

The fourth proportional to 148.75, 205.21 and 116.10 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.75 : 205.21 = 116.10 : x
  2. Step 2: Convert to fraction form
    148.75/205.21 = 116.10/x
  3. Step 3: Cross multiply
    148.75x = 205.21 × 116.10
  4. Step 4: Simplify right side
    148.75x = 23,825.03
  5. Step 5: Solve for x
    x = 23,825.03/148.75
  6. Step 6: Final answer
    x = 160.17

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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.