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Finding the Fourth Proportional to 35.06, 52.14 and 34.70

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Solution

The fourth proportional to 35.06, 52.14 and 34.70 is: 51.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.06 : 52.14 = 34.70 : x
  2. Step 2: Convert to fraction form
    35.06/52.14 = 34.70/x
  3. Step 3: Cross multiply
    35.06x = 52.14 × 34.70
  4. Step 4: Simplify right side
    35.06x = 1,809.13
  5. Step 5: Solve for x
    x = 1,809.13/35.06
  6. Step 6: Final answer
    x = 51.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.