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Finding the Fourth Proportional to 58.78, 88.10 and 34.66

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Solution

The fourth proportional to 58.78, 88.10 and 34.66 is: 51.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 88.10 = 34.66 : x
  2. Step 2: Convert to fraction form
    58.78/88.10 = 34.66/x
  3. Step 3: Cross multiply
    58.78x = 88.10 × 34.66
  4. Step 4: Simplify right side
    58.78x = 3,052.93
  5. Step 5: Solve for x
    x = 3,052.93/58.78
  6. Step 6: Final answer
    x = 51.94

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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.