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Finding the Fourth Proportional to 145.12, 217.82 and 97.06

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Solution

The fourth proportional to 145.12, 217.82 and 97.06 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 217.82 = 97.06 : x
  2. Step 2: Convert to fraction form
    145.12/217.82 = 97.06/x
  3. Step 3: Cross multiply
    145.12x = 217.82 × 97.06
  4. Step 4: Simplify right side
    145.12x = 21,141.61
  5. Step 5: Solve for x
    x = 21,141.61/145.12
  6. Step 6: Final answer
    x = 145.68

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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.