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Finding the Fourth Proportional to 73.08, 100.76 and 61.36

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Solution

The fourth proportional to 73.08, 100.76 and 61.36 is: 84.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.08 : 100.76 = 61.36 : x
  2. Step 2: Convert to fraction form
    73.08/100.76 = 61.36/x
  3. Step 3: Cross multiply
    73.08x = 100.76 × 61.36
  4. Step 4: Simplify right side
    73.08x = 6,182.63
  5. Step 5: Solve for x
    x = 6,182.63/73.08
  6. Step 6: Final answer
    x = 84.60

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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.