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Finding the Fourth Proportional to 34.35, 46.77 and 34.17

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Solution

The fourth proportional to 34.35, 46.77 and 34.17 is: 46.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.35 : 46.77 = 34.17 : x
  2. Step 2: Convert to fraction form
    34.35/46.77 = 34.17/x
  3. Step 3: Cross multiply
    34.35x = 46.77 × 34.17
  4. Step 4: Simplify right side
    34.35x = 1,598.13
  5. Step 5: Solve for x
    x = 1,598.13/34.35
  6. Step 6: Final answer
    x = 46.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.