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Finding the Fourth Proportional to 53.69, 74.10 and 30.69

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Solution

The fourth proportional to 53.69, 74.10 and 30.69 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 74.10 = 30.69 : x
  2. Step 2: Convert to fraction form
    53.69/74.10 = 30.69/x
  3. Step 3: Cross multiply
    53.69x = 74.10 × 30.69
  4. Step 4: Simplify right side
    53.69x = 2,274.13
  5. Step 5: Solve for x
    x = 2,274.13/53.69
  6. Step 6: Final answer
    x = 42.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.