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Finding the Fourth Proportional to 73.51, 101.49 and 53.80

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Solution

The fourth proportional to 73.51, 101.49 and 53.80 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 101.49 = 53.80 : x
  2. Step 2: Convert to fraction form
    73.51/101.49 = 53.80/x
  3. Step 3: Cross multiply
    73.51x = 101.49 × 53.80
  4. Step 4: Simplify right side
    73.51x = 5,460.36
  5. Step 5: Solve for x
    x = 5,460.36/73.51
  6. Step 6: Final answer
    x = 74.28

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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.