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Finding the Fourth Proportional to 42.98, 64.53 and 25.02

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Solution

The fourth proportional to 42.98, 64.53 and 25.02 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.98 : 64.53 = 25.02 : x
  2. Step 2: Convert to fraction form
    42.98/64.53 = 25.02/x
  3. Step 3: Cross multiply
    42.98x = 64.53 × 25.02
  4. Step 4: Simplify right side
    42.98x = 1,614.54
  5. Step 5: Solve for x
    x = 1,614.54/42.98
  6. Step 6: Final answer
    x = 37.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.