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Finding the Fourth Proportional to 58.38, 87.06 and 55.19

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Solution

The fourth proportional to 58.38, 87.06 and 55.19 is: 82.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 87.06 = 55.19 : x
  2. Step 2: Convert to fraction form
    58.38/87.06 = 55.19/x
  3. Step 3: Cross multiply
    58.38x = 87.06 × 55.19
  4. Step 4: Simplify right side
    58.38x = 4,804.41
  5. Step 5: Solve for x
    x = 4,804.41/58.38
  6. Step 6: Final answer
    x = 82.30

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Why These Related Problems?

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