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Finding the Fourth Proportional to 144.18, 216.16 and 46.65

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Solution

The fourth proportional to 144.18, 216.16 and 46.65 is: 69.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.18 : 216.16 = 46.65 : x
  2. Step 2: Convert to fraction form
    144.18/216.16 = 46.65/x
  3. Step 3: Cross multiply
    144.18x = 216.16 × 46.65
  4. Step 4: Simplify right side
    144.18x = 10,083.63
  5. Step 5: Solve for x
    x = 10,083.63/144.18
  6. Step 6: Final answer
    x = 69.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.