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Finding the Fourth Proportional to 145.56, 200.85 and 87.35

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Solution

The fourth proportional to 145.56, 200.85 and 87.35 is: 120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 200.85 = 87.35 : x
  2. Step 2: Convert to fraction form
    145.56/200.85 = 87.35/x
  3. Step 3: Cross multiply
    145.56x = 200.85 × 87.35
  4. Step 4: Simplify right side
    145.56x = 17,542.92
  5. Step 5: Solve for x
    x = 17,542.92/145.56
  6. Step 6: Final answer
    x = 120.52

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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.