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Finding the Fourth Proportional to 66.08, 90.80 and 58.56

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Solution

The fourth proportional to 66.08, 90.80 and 58.56 is: 80.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.08 : 90.80 = 58.56 : x
  2. Step 2: Convert to fraction form
    66.08/90.80 = 58.56/x
  3. Step 3: Cross multiply
    66.08x = 90.80 × 58.56
  4. Step 4: Simplify right side
    66.08x = 5,317.25
  5. Step 5: Solve for x
    x = 5,317.25/66.08
  6. Step 6: Final answer
    x = 80.47

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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.