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Finding the Fourth Proportional to 25.40, 34.14 and 25.40

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Solution

The fourth proportional to 25.40, 34.14 and 25.40 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.40 : 34.14 = 25.40 : x
  2. Step 2: Convert to fraction form
    25.40/34.14 = 25.40/x
  3. Step 3: Cross multiply
    25.40x = 34.14 × 25.40
  4. Step 4: Simplify right side
    25.40x = 867.16
  5. Step 5: Solve for x
    x = 867.16/25.40
  6. Step 6: Final answer
    x = 34.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.