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Finding the Fourth Proportional to 42.60, 57.45 and 42.60

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Solution

The fourth proportional to 42.60, 57.45 and 42.60 is: 57.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.60 : 57.45 = 42.60 : x
  2. Step 2: Convert to fraction form
    42.60/57.45 = 42.60/x
  3. Step 3: Cross multiply
    42.60x = 57.45 × 42.60
  4. Step 4: Simplify right side
    42.60x = 2,447.37
  5. Step 5: Solve for x
    x = 2,447.37/42.60
  6. Step 6: Final answer
    x = 57.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.