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Finding the Fourth Proportional to 145.14, 200.29 and 79.65

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Solution

The fourth proportional to 145.14, 200.29 and 79.65 is: 109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 200.29 = 79.65 : x
  2. Step 2: Convert to fraction form
    145.14/200.29 = 79.65/x
  3. Step 3: Cross multiply
    145.14x = 200.29 × 79.65
  4. Step 4: Simplify right side
    145.14x = 15,951.70
  5. Step 5: Solve for x
    x = 15,951.70/145.14
  6. Step 6: Final answer
    x = 109.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.