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Finding the Fourth Proportional to 60.98, 91.26 and 52.43

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Solution

The fourth proportional to 60.98, 91.26 and 52.43 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.98 : 91.26 = 52.43 : x
  2. Step 2: Convert to fraction form
    60.98/91.26 = 52.43/x
  3. Step 3: Cross multiply
    60.98x = 91.26 × 52.43
  4. Step 4: Simplify right side
    60.98x = 4,784.31
  5. Step 5: Solve for x
    x = 4,784.31/60.98
  6. Step 6: Final answer
    x = 78.46

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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.