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Finding the Fourth Proportional to 42.99, 64.60 and 40.25

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Solution

The fourth proportional to 42.99, 64.60 and 40.25 is: 60.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.99 : 64.60 = 40.25 : x
  2. Step 2: Convert to fraction form
    42.99/64.60 = 40.25/x
  3. Step 3: Cross multiply
    42.99x = 64.60 × 40.25
  4. Step 4: Simplify right side
    42.99x = 2,600.21
  5. Step 5: Solve for x
    x = 2,600.21/42.99
  6. Step 6: Final answer
    x = 60.48

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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.