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Finding the Fourth Proportional to 58.70, 81.14 and 54.24

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Solution

The fourth proportional to 58.70, 81.14 and 54.24 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.70 : 81.14 = 54.24 : x
  2. Step 2: Convert to fraction form
    58.70/81.14 = 54.24/x
  3. Step 3: Cross multiply
    58.70x = 81.14 × 54.24
  4. Step 4: Simplify right side
    58.70x = 4,401.03
  5. Step 5: Solve for x
    x = 4,401.03/58.70
  6. Step 6: Final answer
    x = 74.98

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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.