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Finding the Fourth Proportional to 142.98, 214.34 and 99.65

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Solution

The fourth proportional to 142.98, 214.34 and 99.65 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.98 : 214.34 = 99.65 : x
  2. Step 2: Convert to fraction form
    142.98/214.34 = 99.65/x
  3. Step 3: Cross multiply
    142.98x = 214.34 × 99.65
  4. Step 4: Simplify right side
    142.98x = 21,359.02
  5. Step 5: Solve for x
    x = 21,359.02/142.98
  6. Step 6: Final answer
    x = 149.39

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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.