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Finding the Fourth Proportional to 59.64, 82.72 and 58.06

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Solution

The fourth proportional to 59.64, 82.72 and 58.06 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.64 : 82.72 = 58.06 : x
  2. Step 2: Convert to fraction form
    59.64/82.72 = 58.06/x
  3. Step 3: Cross multiply
    59.64x = 82.72 × 58.06
  4. Step 4: Simplify right side
    59.64x = 4,802.59
  5. Step 5: Solve for x
    x = 4,802.59/59.64
  6. Step 6: Final answer
    x = 80.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.