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Finding the Fourth Proportional to 42.49, 58.64 and 25.00

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Solution

The fourth proportional to 42.49, 58.64 and 25.00 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 58.64 = 25.00 : x
  2. Step 2: Convert to fraction form
    42.49/58.64 = 25.00/x
  3. Step 3: Cross multiply
    42.49x = 58.64 × 25.00
  4. Step 4: Simplify right side
    42.49x = 1,466.05
  5. Step 5: Solve for x
    x = 1,466.05/42.49
  6. Step 6: Final answer
    x = 34.51

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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.