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Finding the Fourth Proportional to 145.60, 200.92 and 112.88

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Solution

The fourth proportional to 145.60, 200.92 and 112.88 is: 155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 200.92 = 112.88 : x
  2. Step 2: Convert to fraction form
    145.60/200.92 = 112.88/x
  3. Step 3: Cross multiply
    145.60x = 200.92 × 112.88
  4. Step 4: Simplify right side
    145.60x = 22,679.85
  5. Step 5: Solve for x
    x = 22,679.85/145.60
  6. Step 6: Final answer
    x = 155.77

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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.