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Finding the Fourth Proportional to 148.05, 222.09 and 56.77

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Solution

The fourth proportional to 148.05, 222.09 and 56.77 is: 85.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 222.09 = 56.77 : x
  2. Step 2: Convert to fraction form
    148.05/222.09 = 56.77/x
  3. Step 3: Cross multiply
    148.05x = 222.09 × 56.77
  4. Step 4: Simplify right side
    148.05x = 12,608.05
  5. Step 5: Solve for x
    x = 12,608.05/148.05
  6. Step 6: Final answer
    x = 85.16

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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.