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Finding the Fourth Proportional to 25.66, 35.42 and 18.29

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Solution

The fourth proportional to 25.66, 35.42 and 18.29 is: 25.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.66 : 35.42 = 18.29 : x
  2. Step 2: Convert to fraction form
    25.66/35.42 = 18.29/x
  3. Step 3: Cross multiply
    25.66x = 35.42 × 18.29
  4. Step 4: Simplify right side
    25.66x = 647.83
  5. Step 5: Solve for x
    x = 647.83/25.66
  6. Step 6: Final answer
    x = 25.25

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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.