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Finding the Fourth Proportional to 145.19, 217.38 and 106.52

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Solution

The fourth proportional to 145.19, 217.38 and 106.52 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 217.38 = 106.52 : x
  2. Step 2: Convert to fraction form
    145.19/217.38 = 106.52/x
  3. Step 3: Cross multiply
    145.19x = 217.38 × 106.52
  4. Step 4: Simplify right side
    145.19x = 23,154.63
  5. Step 5: Solve for x
    x = 23,154.63/145.19
  6. Step 6: Final answer
    x = 159.48

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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.