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Finding the Fourth Proportional to 24.14, 33.34 and 23.24

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Solution

The fourth proportional to 24.14, 33.34 and 23.24 is: 32.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 33.34 = 23.24 : x
  2. Step 2: Convert to fraction form
    24.14/33.34 = 23.24/x
  3. Step 3: Cross multiply
    24.14x = 33.34 × 23.24
  4. Step 4: Simplify right side
    24.14x = 774.82
  5. Step 5: Solve for x
    x = 774.82/24.14
  6. Step 6: Final answer
    x = 32.10

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1.5x scale

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.