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Finding the Fourth Proportional to 145.48, 200.92 and 112.66

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Solution

The fourth proportional to 145.48, 200.92 and 112.66 is: 155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.48 : 200.92 = 112.66 : x
  2. Step 2: Convert to fraction form
    145.48/200.92 = 112.66/x
  3. Step 3: Cross multiply
    145.48x = 200.92 × 112.66
  4. Step 4: Simplify right side
    145.48x = 22,635.65
  5. Step 5: Solve for x
    x = 22,635.65/145.48
  6. Step 6: Final answer
    x = 155.59

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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.