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Finding the Fourth Proportional to 101.48, 152.31 and 55.77

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Solution

The fourth proportional to 101.48, 152.31 and 55.77 is: 83.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 152.31 = 55.77 : x
  2. Step 2: Convert to fraction form
    101.48/152.31 = 55.77/x
  3. Step 3: Cross multiply
    101.48x = 152.31 × 55.77
  4. Step 4: Simplify right side
    101.48x = 8,494.33
  5. Step 5: Solve for x
    x = 8,494.33/101.48
  6. Step 6: Final answer
    x = 83.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.