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Finding the Fourth Proportional to 101.17, 151.75 and 29.03

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Solution

The fourth proportional to 101.17, 151.75 and 29.03 is: 43.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.17 : 151.75 = 29.03 : x
  2. Step 2: Convert to fraction form
    101.17/151.75 = 29.03/x
  3. Step 3: Cross multiply
    101.17x = 151.75 × 29.03
  4. Step 4: Simplify right side
    101.17x = 4,404.77
  5. Step 5: Solve for x
    x = 4,404.77/101.17
  6. Step 6: Final answer
    x = 43.54

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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.