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Finding the Fourth Proportional to 145.57, 200.85 and 87.34

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Solution

The fourth proportional to 145.57, 200.85 and 87.34 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.57 : 200.85 = 87.34 : x
  2. Step 2: Convert to fraction form
    145.57/200.85 = 87.34/x
  3. Step 3: Cross multiply
    145.57x = 200.85 × 87.34
  4. Step 4: Simplify right side
    145.57x = 17,542.24
  5. Step 5: Solve for x
    x = 17,542.24/145.57
  6. Step 6: Final answer
    x = 120.51

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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.