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Finding the Fourth Proportional to 35.28, 53.15 and 35.10

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Solution

The fourth proportional to 35.28, 53.15 and 35.10 is: 52.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.28 : 53.15 = 35.10 : x
  2. Step 2: Convert to fraction form
    35.28/53.15 = 35.10/x
  3. Step 3: Cross multiply
    35.28x = 53.15 × 35.10
  4. Step 4: Simplify right side
    35.28x = 1,865.39
  5. Step 5: Solve for x
    x = 1,865.39/35.28
  6. Step 6: Final answer
    x = 52.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.