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Finding the Fourth Proportional to 146.57, 219.85 and 65.42

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Solution

The fourth proportional to 146.57, 219.85 and 65.42 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 219.85 = 65.42 : x
  2. Step 2: Convert to fraction form
    146.57/219.85 = 65.42/x
  3. Step 3: Cross multiply
    146.57x = 219.85 × 65.42
  4. Step 4: Simplify right side
    146.57x = 14,381.32
  5. Step 5: Solve for x
    x = 14,381.32/146.57
  6. Step 6: Final answer
    x = 98.12

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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.