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Finding the Fourth Proportional to 101.34, 151.27 and 89.19

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Solution

The fourth proportional to 101.34, 151.27 and 89.19 is: 133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.34 : 151.27 = 89.19 : x
  2. Step 2: Convert to fraction form
    101.34/151.27 = 89.19/x
  3. Step 3: Cross multiply
    101.34x = 151.27 × 89.19
  4. Step 4: Simplify right side
    101.34x = 13,491.77
  5. Step 5: Solve for x
    x = 13,491.77/101.34
  6. Step 6: Final answer
    x = 133.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.