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Finding the Fourth Proportional to 58.51, 80.72 and 42.11

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Solution

The fourth proportional to 58.51, 80.72 and 42.11 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.51 : 80.72 = 42.11 : x
  2. Step 2: Convert to fraction form
    58.51/80.72 = 42.11/x
  3. Step 3: Cross multiply
    58.51x = 80.72 × 42.11
  4. Step 4: Simplify right side
    58.51x = 3,399.12
  5. Step 5: Solve for x
    x = 3,399.12/58.51
  6. Step 6: Final answer
    x = 58.09

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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.