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Finding the Fourth Proportional to 144.53, 216.93 and 76.10

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Solution

The fourth proportional to 144.53, 216.93 and 76.10 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.53 : 216.93 = 76.10 : x
  2. Step 2: Convert to fraction form
    144.53/216.93 = 76.10/x
  3. Step 3: Cross multiply
    144.53x = 216.93 × 76.10
  4. Step 4: Simplify right side
    144.53x = 16,508.37
  5. Step 5: Solve for x
    x = 16,508.37/144.53
  6. Step 6: Final answer
    x = 114.22

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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.