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Finding the Fourth Proportional to 144.66, 216.95 and 67.58

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Solution

The fourth proportional to 144.66, 216.95 and 67.58 is: 101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 216.95 = 67.58 : x
  2. Step 2: Convert to fraction form
    144.66/216.95 = 67.58/x
  3. Step 3: Cross multiply
    144.66x = 216.95 × 67.58
  4. Step 4: Simplify right side
    144.66x = 14,660.06
  5. Step 5: Solve for x
    x = 14,660.06/144.66
  6. Step 6: Final answer
    x = 101.34

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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.