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Finding the Fourth Proportional to 143.59, 214.56 and 97.55

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Solution

The fourth proportional to 143.59, 214.56 and 97.55 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 214.56 = 97.55 : x
  2. Step 2: Convert to fraction form
    143.59/214.56 = 97.55/x
  3. Step 3: Cross multiply
    143.59x = 214.56 × 97.55
  4. Step 4: Simplify right side
    143.59x = 20,929.84
  5. Step 5: Solve for x
    x = 20,929.84/143.59
  6. Step 6: Final answer
    x = 145.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.