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Finding the Fourth Proportional to 145.97, 219.02 and 91.88

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Solution

The fourth proportional to 145.97, 219.02 and 91.88 is: 137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 219.02 = 91.88 : x
  2. Step 2: Convert to fraction form
    145.97/219.02 = 91.88/x
  3. Step 3: Cross multiply
    145.97x = 219.02 × 91.88
  4. Step 4: Simplify right side
    145.97x = 20,122.00
  5. Step 5: Solve for x
    x = 20,122.00/145.97
  6. Step 6: Final answer
    x = 137.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.