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Finding the Fourth Proportional to 100.20, 150.16 and 52

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Solution

The fourth proportional to 100.20, 150.16 and 52 is: 77.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 150.16 = 52 : x
  2. Step 2: Convert to fraction form
    100.20/150.16 = 52/x
  3. Step 3: Cross multiply
    100.20x = 150.16 × 52
  4. Step 4: Simplify right side
    100.20x = 7,808.32
  5. Step 5: Solve for x
    x = 7,808.32/100.20
  6. Step 6: Final answer
    x = 77.93

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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.