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Finding the Fourth Proportional to 78.98, 108.98 and 46.24

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Solution

The fourth proportional to 78.98, 108.98 and 46.24 is: 63.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.98 : 108.98 = 46.24 : x
  2. Step 2: Convert to fraction form
    78.98/108.98 = 46.24/x
  3. Step 3: Cross multiply
    78.98x = 108.98 × 46.24
  4. Step 4: Simplify right side
    78.98x = 5,038.90
  5. Step 5: Solve for x
    x = 5,038.90/78.98
  6. Step 6: Final answer
    x = 63.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.