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Finding the Fourth Proportional to 58.91, 81.29 and 34.35

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Solution

The fourth proportional to 58.91, 81.29 and 34.35 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.91 : 81.29 = 34.35 : x
  2. Step 2: Convert to fraction form
    58.91/81.29 = 34.35/x
  3. Step 3: Cross multiply
    58.91x = 81.29 × 34.35
  4. Step 4: Simplify right side
    58.91x = 2,792.40
  5. Step 5: Solve for x
    x = 2,792.40/58.91
  6. Step 6: Final answer
    x = 47.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.