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Finding the Fourth Proportional to 58.76, 81.06 and 34.19

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Solution

The fourth proportional to 58.76, 81.06 and 34.19 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 81.06 = 34.19 : x
  2. Step 2: Convert to fraction form
    58.76/81.06 = 34.19/x
  3. Step 3: Cross multiply
    58.76x = 81.06 × 34.19
  4. Step 4: Simplify right side
    58.76x = 2,771.04
  5. Step 5: Solve for x
    x = 2,771.04/58.76
  6. Step 6: Final answer
    x = 47.16

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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.