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Finding the Fourth Proportional to 101.30, 152.68 and 97.18

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Solution

The fourth proportional to 101.30, 152.68 and 97.18 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.30 : 152.68 = 97.18 : x
  2. Step 2: Convert to fraction form
    101.30/152.68 = 97.18/x
  3. Step 3: Cross multiply
    101.30x = 152.68 × 97.18
  4. Step 4: Simplify right side
    101.30x = 14,837.44
  5. Step 5: Solve for x
    x = 14,837.44/101.30
  6. Step 6: Final answer
    x = 146.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.