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Finding the Fourth Proportional to 45.06, 61.82 and 42.30

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Solution

The fourth proportional to 45.06, 61.82 and 42.30 is: 58.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.06 : 61.82 = 42.30 : x
  2. Step 2: Convert to fraction form
    45.06/61.82 = 42.30/x
  3. Step 3: Cross multiply
    45.06x = 61.82 × 42.30
  4. Step 4: Simplify right side
    45.06x = 2,614.77
  5. Step 5: Solve for x
    x = 2,614.77/45.06
  6. Step 6: Final answer
    x = 58.03

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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.