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Finding the Fourth Proportional to 102.88, 154.20 and 45.10

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Solution

The fourth proportional to 102.88, 154.20 and 45.10 is: 67.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 154.20 = 45.10 : x
  2. Step 2: Convert to fraction form
    102.88/154.20 = 45.10/x
  3. Step 3: Cross multiply
    102.88x = 154.20 × 45.10
  4. Step 4: Simplify right side
    102.88x = 6,954.42
  5. Step 5: Solve for x
    x = 6,954.42/102.88
  6. Step 6: Final answer
    x = 67.60

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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.