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Finding the Fourth Proportional to 144.01, 215.87 and 47.75

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Solution

The fourth proportional to 144.01, 215.87 and 47.75 is: 71.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 215.87 = 47.75 : x
  2. Step 2: Convert to fraction form
    144.01/215.87 = 47.75/x
  3. Step 3: Cross multiply
    144.01x = 215.87 × 47.75
  4. Step 4: Simplify right side
    144.01x = 10,307.79
  5. Step 5: Solve for x
    x = 10,307.79/144.01
  6. Step 6: Final answer
    x = 71.58

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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.