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Finding the Fourth Proportional to 42.61, 58.81 and 30.19

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Solution

The fourth proportional to 42.61, 58.81 and 30.19 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.61 : 58.81 = 30.19 : x
  2. Step 2: Convert to fraction form
    42.61/58.81 = 30.19/x
  3. Step 3: Cross multiply
    42.61x = 58.81 × 30.19
  4. Step 4: Simplify right side
    42.61x = 1,775.47
  5. Step 5: Solve for x
    x = 1,775.47/42.61
  6. Step 6: Final answer
    x = 41.67

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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.