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Finding the Fourth Proportional to 100.20, 150.42 and 64.20

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Solution

The fourth proportional to 100.20, 150.42 and 64.20 is: 96.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 150.42 = 64.20 : x
  2. Step 2: Convert to fraction form
    100.20/150.42 = 64.20/x
  3. Step 3: Cross multiply
    100.20x = 150.42 × 64.20
  4. Step 4: Simplify right side
    100.20x = 9,656.96
  5. Step 5: Solve for x
    x = 9,656.96/100.20
  6. Step 6: Final answer
    x = 96.38

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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.