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Finding the Fourth Proportional to 58.90, 88.30 and 37.24

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Solution

The fourth proportional to 58.90, 88.30 and 37.24 is: 55.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.90 : 88.30 = 37.24 : x
  2. Step 2: Convert to fraction form
    58.90/88.30 = 37.24/x
  3. Step 3: Cross multiply
    58.90x = 88.30 × 37.24
  4. Step 4: Simplify right side
    58.90x = 3,288.29
  5. Step 5: Solve for x
    x = 3,288.29/58.90
  6. Step 6: Final answer
    x = 55.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.