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Finding the Fourth Proportional to 43.02, 59.31 and 42.08

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Solution

The fourth proportional to 43.02, 59.31 and 42.08 is: 58.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.02 : 59.31 = 42.08 : x
  2. Step 2: Convert to fraction form
    43.02/59.31 = 42.08/x
  3. Step 3: Cross multiply
    43.02x = 59.31 × 42.08
  4. Step 4: Simplify right side
    43.02x = 2,495.47
  5. Step 5: Solve for x
    x = 2,495.47/43.02
  6. Step 6: Final answer
    x = 58.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.