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Finding the Fourth Proportional to 101.60, 152.21 and 69.02

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Solution

The fourth proportional to 101.60, 152.21 and 69.02 is: 103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 152.21 = 69.02 : x
  2. Step 2: Convert to fraction form
    101.60/152.21 = 69.02/x
  3. Step 3: Cross multiply
    101.60x = 152.21 × 69.02
  4. Step 4: Simplify right side
    101.60x = 10,505.53
  5. Step 5: Solve for x
    x = 10,505.53/101.60
  6. Step 6: Final answer
    x = 103.40

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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.