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Finding the Fourth Proportional to 142, 212.75 and 101.22

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Solution

The fourth proportional to 142, 212.75 and 101.22 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 212.75 = 101.22 : x
  2. Step 2: Convert to fraction form
    142/212.75 = 101.22/x
  3. Step 3: Cross multiply
    142x = 212.75 × 101.22
  4. Step 4: Simplify right side
    142x = 21,534.56
  5. Step 5: Solve for x
    x = 21,534.56/142
  6. Step 6: Final answer
    x = 151.65

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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.