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Finding the Fourth Proportional to 73.07, 100.83 and 40.32

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Solution

The fourth proportional to 73.07, 100.83 and 40.32 is: 55.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.07 : 100.83 = 40.32 : x
  2. Step 2: Convert to fraction form
    73.07/100.83 = 40.32/x
  3. Step 3: Cross multiply
    73.07x = 100.83 × 40.32
  4. Step 4: Simplify right side
    73.07x = 4,065.47
  5. Step 5: Solve for x
    x = 4,065.47/73.07
  6. Step 6: Final answer
    x = 55.64

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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.