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Finding the Fourth Proportional to 58.84, 88.22 and 34.78

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Solution

The fourth proportional to 58.84, 88.22 and 34.78 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.84 : 88.22 = 34.78 : x
  2. Step 2: Convert to fraction form
    58.84/88.22 = 34.78/x
  3. Step 3: Cross multiply
    58.84x = 88.22 × 34.78
  4. Step 4: Simplify right side
    58.84x = 3,068.29
  5. Step 5: Solve for x
    x = 3,068.29/58.84
  6. Step 6: Final answer
    x = 52.15

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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.