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Finding the Fourth Proportional to 35.78, 53.66 and 30.09

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Solution

The fourth proportional to 35.78, 53.66 and 30.09 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 53.66 = 30.09 : x
  2. Step 2: Convert to fraction form
    35.78/53.66 = 30.09/x
  3. Step 3: Cross multiply
    35.78x = 53.66 × 30.09
  4. Step 4: Simplify right side
    35.78x = 1,614.70
  5. Step 5: Solve for x
    x = 1,614.70/35.78
  6. Step 6: Final answer
    x = 45.13

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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.