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Finding the Fourth Proportional to 27.19, 40.60 and 24.34

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Solution

The fourth proportional to 27.19, 40.60 and 24.34 is: 36.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 40.60 = 24.34 : x
  2. Step 2: Convert to fraction form
    27.19/40.60 = 24.34/x
  3. Step 3: Cross multiply
    27.19x = 40.60 × 24.34
  4. Step 4: Simplify right side
    27.19x = 988.26
  5. Step 5: Solve for x
    x = 988.26/27.19
  6. Step 6: Final answer
    x = 36.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.