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Finding the Fourth Proportional to 145.76, 200.96 and 112.96

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Solution

The fourth proportional to 145.76, 200.96 and 112.96 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.96 = 112.96 : x
  2. Step 2: Convert to fraction form
    145.76/200.96 = 112.96/x
  3. Step 3: Cross multiply
    145.76x = 200.96 × 112.96
  4. Step 4: Simplify right side
    145.76x = 22,700.44
  5. Step 5: Solve for x
    x = 22,700.44/145.76
  6. Step 6: Final answer
    x = 155.74

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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.