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Finding the Fourth Proportional to 63.77, 88.01 and 34.66

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Solution

The fourth proportional to 63.77, 88.01 and 34.66 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.77 : 88.01 = 34.66 : x
  2. Step 2: Convert to fraction form
    63.77/88.01 = 34.66/x
  3. Step 3: Cross multiply
    63.77x = 88.01 × 34.66
  4. Step 4: Simplify right side
    63.77x = 3,050.74
  5. Step 5: Solve for x
    x = 3,050.74/63.77
  6. Step 6: Final answer
    x = 47.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.