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Finding the Fourth Proportional to 32.54, 48.80 and 14.51

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Solution

The fourth proportional to 32.54, 48.80 and 14.51 is: 21.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.54 : 48.80 = 14.51 : x
  2. Step 2: Convert to fraction form
    32.54/48.80 = 14.51/x
  3. Step 3: Cross multiply
    32.54x = 48.80 × 14.51
  4. Step 4: Simplify right side
    32.54x = 708.25
  5. Step 5: Solve for x
    x = 708.25/32.54
  6. Step 6: Final answer
    x = 21.77

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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.