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Finding the Fourth Proportional to 101.13, 151.58 and 89.13

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Solution

The fourth proportional to 101.13, 151.58 and 89.13 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.13 : 151.58 = 89.13 : x
  2. Step 2: Convert to fraction form
    101.13/151.58 = 89.13/x
  3. Step 3: Cross multiply
    101.13x = 151.58 × 89.13
  4. Step 4: Simplify right side
    101.13x = 13,509.88
  5. Step 5: Solve for x
    x = 13,509.88/101.13
  6. Step 6: Final answer
    x = 133.59

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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.