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Finding the Fourth Proportional to 134.46, 201.53 and 47.77

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Solution

The fourth proportional to 134.46, 201.53 and 47.77 is: 71.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.46 : 201.53 = 47.77 : x
  2. Step 2: Convert to fraction form
    134.46/201.53 = 47.77/x
  3. Step 3: Cross multiply
    134.46x = 201.53 × 47.77
  4. Step 4: Simplify right side
    134.46x = 9,626.70
  5. Step 5: Solve for x
    x = 9,626.70/134.46
  6. Step 6: Final answer
    x = 71.60

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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.