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Finding the Fourth Proportional to 145.04, 217.47 and 84.18

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Solution

The fourth proportional to 145.04, 217.47 and 84.18 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.04 : 217.47 = 84.18 : x
  2. Step 2: Convert to fraction form
    145.04/217.47 = 84.18/x
  3. Step 3: Cross multiply
    145.04x = 217.47 × 84.18
  4. Step 4: Simplify right side
    145.04x = 18,306.62
  5. Step 5: Solve for x
    x = 18,306.62/145.04
  6. Step 6: Final answer
    x = 126.22

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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.