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Finding the Fourth Proportional to 145.18, 217.77 and 97.30

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Solution

The fourth proportional to 145.18, 217.77 and 97.30 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.18 : 217.77 = 97.30 : x
  2. Step 2: Convert to fraction form
    145.18/217.77 = 97.30/x
  3. Step 3: Cross multiply
    145.18x = 217.77 × 97.30
  4. Step 4: Simplify right side
    145.18x = 21,189.02
  5. Step 5: Solve for x
    x = 21,189.02/145.18
  6. Step 6: Final answer
    x = 145.95

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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.