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Finding the Fourth Proportional to 58.44, 87.24 and 46.40

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Solution

The fourth proportional to 58.44, 87.24 and 46.40 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.44 : 87.24 = 46.40 : x
  2. Step 2: Convert to fraction form
    58.44/87.24 = 46.40/x
  3. Step 3: Cross multiply
    58.44x = 87.24 × 46.40
  4. Step 4: Simplify right side
    58.44x = 4,047.94
  5. Step 5: Solve for x
    x = 4,047.94/58.44
  6. Step 6: Final answer
    x = 69.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.