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Finding the Fourth Proportional to 145.28, 200.48 and 106.56

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Solution

The fourth proportional to 145.28, 200.48 and 106.56 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 200.48 = 106.56 : x
  2. Step 2: Convert to fraction form
    145.28/200.48 = 106.56/x
  3. Step 3: Cross multiply
    145.28x = 200.48 × 106.56
  4. Step 4: Simplify right side
    145.28x = 21,363.15
  5. Step 5: Solve for x
    x = 21,363.15/145.28
  6. Step 6: Final answer
    x = 147.05

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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.