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Finding the Fourth Proportional to 101.52, 151.53 and 89.37

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Solution

The fourth proportional to 101.52, 151.53 and 89.37 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.52 : 151.53 = 89.37 : x
  2. Step 2: Convert to fraction form
    101.52/151.53 = 89.37/x
  3. Step 3: Cross multiply
    101.52x = 151.53 × 89.37
  4. Step 4: Simplify right side
    101.52x = 13,541.90
  5. Step 5: Solve for x
    x = 13,541.90/101.52
  6. Step 6: Final answer
    x = 133.39

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