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Finding the Fourth Proportional to 23.07, 31.76 and 19.95

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Solution

The fourth proportional to 23.07, 31.76 and 19.95 is: 27.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 31.76 = 19.95 : x
  2. Step 2: Convert to fraction form
    23.07/31.76 = 19.95/x
  3. Step 3: Cross multiply
    23.07x = 31.76 × 19.95
  4. Step 4: Simplify right side
    23.07x = 633.51
  5. Step 5: Solve for x
    x = 633.51/23.07
  6. Step 6: Final answer
    x = 27.46

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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.