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Finding the Fourth Proportional to 101.14, 151.67 and 28.98

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Solution

The fourth proportional to 101.14, 151.67 and 28.98 is: 43.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.14 : 151.67 = 28.98 : x
  2. Step 2: Convert to fraction form
    101.14/151.67 = 28.98/x
  3. Step 3: Cross multiply
    101.14x = 151.67 × 28.98
  4. Step 4: Simplify right side
    101.14x = 4,395.47
  5. Step 5: Solve for x
    x = 4,395.47/101.14
  6. Step 6: Final answer
    x = 43.46

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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.