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Finding the Fourth Proportional to 24.65, 33.99 and 14.93

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Solution

The fourth proportional to 24.65, 33.99 and 14.93 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 33.99 = 14.93 : x
  2. Step 2: Convert to fraction form
    24.65/33.99 = 14.93/x
  3. Step 3: Cross multiply
    24.65x = 33.99 × 14.93
  4. Step 4: Simplify right side
    24.65x = 507.47
  5. Step 5: Solve for x
    x = 507.47/24.65
  6. Step 6: Final answer
    x = 20.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.