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Finding the Fourth Proportional to 42, 57.95 and 25.40

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Solution

The fourth proportional to 42, 57.95 and 25.40 is: 35.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 57.95 = 25.40 : x
  2. Step 2: Convert to fraction form
    42/57.95 = 25.40/x
  3. Step 3: Cross multiply
    42x = 57.95 × 25.40
  4. Step 4: Simplify right side
    42x = 1,471.93
  5. Step 5: Solve for x
    x = 1,471.93/42
  6. Step 6: Final answer
    x = 35.05

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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.