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Finding the Fourth Proportional to 100.36, 150.33 and 52.30

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Solution

The fourth proportional to 100.36, 150.33 and 52.30 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 150.33 = 52.30 : x
  2. Step 2: Convert to fraction form
    100.36/150.33 = 52.30/x
  3. Step 3: Cross multiply
    100.36x = 150.33 × 52.30
  4. Step 4: Simplify right side
    100.36x = 7,862.26
  5. Step 5: Solve for x
    x = 7,862.26/100.36
  6. Step 6: Final answer
    x = 78.34

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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.