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Finding the Fourth Proportional to 60.17, 90.23 and 33.11

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Solution

The fourth proportional to 60.17, 90.23 and 33.11 is: 49.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.17 : 90.23 = 33.11 : x
  2. Step 2: Convert to fraction form
    60.17/90.23 = 33.11/x
  3. Step 3: Cross multiply
    60.17x = 90.23 × 33.11
  4. Step 4: Simplify right side
    60.17x = 2,987.06
  5. Step 5: Solve for x
    x = 2,987.06/60.17
  6. Step 6: Final answer
    x = 49.64

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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.