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Finding the Fourth Proportional to 25.14, 34.53 and 23.25

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Solution

The fourth proportional to 25.14, 34.53 and 23.25 is: 31.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.14 : 34.53 = 23.25 : x
  2. Step 2: Convert to fraction form
    25.14/34.53 = 23.25/x
  3. Step 3: Cross multiply
    25.14x = 34.53 × 23.25
  4. Step 4: Simplify right side
    25.14x = 802.82
  5. Step 5: Solve for x
    x = 802.82/25.14
  6. Step 6: Final answer
    x = 31.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.