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Finding the Fourth Proportional to 25.10, 37.84 and 23.45

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Solution

The fourth proportional to 25.10, 37.84 and 23.45 is: 35.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.10 : 37.84 = 23.45 : x
  2. Step 2: Convert to fraction form
    25.10/37.84 = 23.45/x
  3. Step 3: Cross multiply
    25.10x = 37.84 × 23.45
  4. Step 4: Simplify right side
    25.10x = 887.04
  5. Step 5: Solve for x
    x = 887.04/25.10
  6. Step 6: Final answer
    x = 35.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.