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Finding the Fourth Proportional to 42.79, 58.65 and 42.01

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Solution

The fourth proportional to 42.79, 58.65 and 42.01 is: 57.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.79 : 58.65 = 42.01 : x
  2. Step 2: Convert to fraction form
    42.79/58.65 = 42.01/x
  3. Step 3: Cross multiply
    42.79x = 58.65 × 42.01
  4. Step 4: Simplify right side
    42.79x = 2,464.04
  5. Step 5: Solve for x
    x = 2,464.04/42.79
  6. Step 6: Final answer
    x = 57.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.