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Finding the Fourth Proportional to 96.01, 143.86 and 47.81

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Solution

The fourth proportional to 96.01, 143.86 and 47.81 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 143.86 = 47.81 : x
  2. Step 2: Convert to fraction form
    96.01/143.86 = 47.81/x
  3. Step 3: Cross multiply
    96.01x = 143.86 × 47.81
  4. Step 4: Simplify right side
    96.01x = 6,877.95
  5. Step 5: Solve for x
    x = 6,877.95/96.01
  6. Step 6: Final answer
    x = 71.64

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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.