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Finding the Fourth Proportional to 145.67, 218.50 and 99.42

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Solution

The fourth proportional to 145.67, 218.50 and 99.42 is: 149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 218.50 = 99.42 : x
  2. Step 2: Convert to fraction form
    145.67/218.50 = 99.42/x
  3. Step 3: Cross multiply
    145.67x = 218.50 × 99.42
  4. Step 4: Simplify right side
    145.67x = 21,723.27
  5. Step 5: Solve for x
    x = 21,723.27/145.67
  6. Step 6: Final answer
    x = 149.13

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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.