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Finding the Fourth Proportional to 103.26, 155.02 and 101.64

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Solution

The fourth proportional to 103.26, 155.02 and 101.64 is: 152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.26 : 155.02 = 101.64 : x
  2. Step 2: Convert to fraction form
    103.26/155.02 = 101.64/x
  3. Step 3: Cross multiply
    103.26x = 155.02 × 101.64
  4. Step 4: Simplify right side
    103.26x = 15,756.23
  5. Step 5: Solve for x
    x = 15,756.23/103.26
  6. Step 6: Final answer
    x = 152.59

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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.