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Finding the Fourth Proportional to 24.70, 33.77 and 23.76

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Solution

The fourth proportional to 24.70, 33.77 and 23.76 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.70 : 33.77 = 23.76 : x
  2. Step 2: Convert to fraction form
    24.70/33.77 = 23.76/x
  3. Step 3: Cross multiply
    24.70x = 33.77 × 23.76
  4. Step 4: Simplify right side
    24.70x = 802.09
  5. Step 5: Solve for x
    x = 802.09/24.70
  6. Step 6: Final answer
    x = 32.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.