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Finding the Fourth Proportional to 53.40, 73.69 and 30.08

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Solution

The fourth proportional to 53.40, 73.69 and 30.08 is: 41.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.40 : 73.69 = 30.08 : x
  2. Step 2: Convert to fraction form
    53.40/73.69 = 30.08/x
  3. Step 3: Cross multiply
    53.40x = 73.69 × 30.08
  4. Step 4: Simplify right side
    53.40x = 2,216.70
  5. Step 5: Solve for x
    x = 2,216.70/53.40
  6. Step 6: Final answer
    x = 41.51

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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.