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Finding the Fourth Proportional to 35.22, 52.53 and 34.71

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Solution

The fourth proportional to 35.22, 52.53 and 34.71 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.22 : 52.53 = 34.71 : x
  2. Step 2: Convert to fraction form
    35.22/52.53 = 34.71/x
  3. Step 3: Cross multiply
    35.22x = 52.53 × 34.71
  4. Step 4: Simplify right side
    35.22x = 1,823.48
  5. Step 5: Solve for x
    x = 1,823.48/35.22
  6. Step 6: Final answer
    x = 51.78

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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.