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Finding the Fourth Proportional to 59.61, 89.46 and 21.09

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Solution

The fourth proportional to 59.61, 89.46 and 21.09 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.61 : 89.46 = 21.09 : x
  2. Step 2: Convert to fraction form
    59.61/89.46 = 21.09/x
  3. Step 3: Cross multiply
    59.61x = 89.46 × 21.09
  4. Step 4: Simplify right side
    59.61x = 1,887.16
  5. Step 5: Solve for x
    x = 1,887.16/59.61
  6. Step 6: Final answer
    x = 31.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.