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Finding the Fourth Proportional to 73.46, 110.05 and 59.77

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Solution

The fourth proportional to 73.46, 110.05 and 59.77 is: 89.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 110.05 = 59.77 : x
  2. Step 2: Convert to fraction form
    73.46/110.05 = 59.77/x
  3. Step 3: Cross multiply
    73.46x = 110.05 × 59.77
  4. Step 4: Simplify right side
    73.46x = 6,577.38
  5. Step 5: Solve for x
    x = 6,577.38/73.46
  6. Step 6: Final answer
    x = 89.53

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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.