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Finding the Fourth Proportional to 58.02, 86.96 and 23.76

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Solution

The fourth proportional to 58.02, 86.96 and 23.76 is: 35.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.02 : 86.96 = 23.76 : x
  2. Step 2: Convert to fraction form
    58.02/86.96 = 23.76/x
  3. Step 3: Cross multiply
    58.02x = 86.96 × 23.76
  4. Step 4: Simplify right side
    58.02x = 2,066.05
  5. Step 5: Solve for x
    x = 2,066.05/58.02
  6. Step 6: Final answer
    x = 35.61

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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.