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Finding the Fourth Proportional to 59.21, 89.21 and 52.66

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Solution

The fourth proportional to 59.21, 89.21 and 52.66 is: 79.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.21 : 89.21 = 52.66 : x
  2. Step 2: Convert to fraction form
    59.21/89.21 = 52.66/x
  3. Step 3: Cross multiply
    59.21x = 89.21 × 52.66
  4. Step 4: Simplify right side
    59.21x = 4,697.80
  5. Step 5: Solve for x
    x = 4,697.80/59.21
  6. Step 6: Final answer
    x = 79.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.