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Finding the Fourth Proportional to 59.87, 82.65 and 45.33

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Solution

The fourth proportional to 59.87, 82.65 and 45.33 is: 62.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.87 : 82.65 = 45.33 : x
  2. Step 2: Convert to fraction form
    59.87/82.65 = 45.33/x
  3. Step 3: Cross multiply
    59.87x = 82.65 × 45.33
  4. Step 4: Simplify right side
    59.87x = 3,746.52
  5. Step 5: Solve for x
    x = 3,746.52/59.87
  6. Step 6: Final answer
    x = 62.58

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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.