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Finding the Fourth Proportional to 144.74, 216.98 and 56.88

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Solution

The fourth proportional to 144.74, 216.98 and 56.88 is: 85.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.74 : 216.98 = 56.88 : x
  2. Step 2: Convert to fraction form
    144.74/216.98 = 56.88/x
  3. Step 3: Cross multiply
    144.74x = 216.98 × 56.88
  4. Step 4: Simplify right side
    144.74x = 12,341.54
  5. Step 5: Solve for x
    x = 12,341.54/144.74
  6. Step 6: Final answer
    x = 85.27

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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.