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Finding the Fourth Proportional to 145.32, 200.55 and 83.17

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Solution

The fourth proportional to 145.32, 200.55 and 83.17 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 200.55 = 83.17 : x
  2. Step 2: Convert to fraction form
    145.32/200.55 = 83.17/x
  3. Step 3: Cross multiply
    145.32x = 200.55 × 83.17
  4. Step 4: Simplify right side
    145.32x = 16,680.06
  5. Step 5: Solve for x
    x = 16,680.06/145.32
  6. Step 6: Final answer
    x = 114.78

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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.