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Finding the Fourth Proportional to 101.72, 151.83 and 89.57

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Solution

The fourth proportional to 101.72, 151.83 and 89.57 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 151.83 = 89.57 : x
  2. Step 2: Convert to fraction form
    101.72/151.83 = 89.57/x
  3. Step 3: Cross multiply
    101.72x = 151.83 × 89.57
  4. Step 4: Simplify right side
    101.72x = 13,598.21
  5. Step 5: Solve for x
    x = 13,598.21/101.72
  6. Step 6: Final answer
    x = 133.69

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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.