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Finding the Fourth Proportional to 60.06, 90.10 and 33

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Solution

The fourth proportional to 60.06, 90.10 and 33 is: 49.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.06 : 90.10 = 33 : x
  2. Step 2: Convert to fraction form
    60.06/90.10 = 33/x
  3. Step 3: Cross multiply
    60.06x = 90.10 × 33
  4. Step 4: Simplify right side
    60.06x = 2,973.30
  5. Step 5: Solve for x
    x = 2,973.30/60.06
  6. Step 6: Final answer
    x = 49.51

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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.