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Finding the Fourth Proportional to 101.40, 152.14 and 36.36

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Solution

The fourth proportional to 101.40, 152.14 and 36.36 is: 54.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.40 : 152.14 = 36.36 : x
  2. Step 2: Convert to fraction form
    101.40/152.14 = 36.36/x
  3. Step 3: Cross multiply
    101.40x = 152.14 × 36.36
  4. Step 4: Simplify right side
    101.40x = 5,531.25
  5. Step 5: Solve for x
    x = 5,531.25/101.40
  6. Step 6: Final answer
    x = 54.55

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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.