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Finding the Fourth Proportional to 94.50, 141.56 and 48.77

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Solution

The fourth proportional to 94.50, 141.56 and 48.77 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 141.56 = 48.77 : x
  2. Step 2: Convert to fraction form
    94.50/141.56 = 48.77/x
  3. Step 3: Cross multiply
    94.50x = 141.56 × 48.77
  4. Step 4: Simplify right side
    94.50x = 6,902.93
  5. Step 5: Solve for x
    x = 6,902.93/94.50
  6. Step 6: Final answer
    x = 73.05

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Why These Related Problems?

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