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Finding the Fourth Proportional to 73.36, 110.14 and 42.98

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Solution

The fourth proportional to 73.36, 110.14 and 42.98 is: 64.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.36 : 110.14 = 42.98 : x
  2. Step 2: Convert to fraction form
    73.36/110.14 = 42.98/x
  3. Step 3: Cross multiply
    73.36x = 110.14 × 42.98
  4. Step 4: Simplify right side
    73.36x = 4,733.82
  5. Step 5: Solve for x
    x = 4,733.82/73.36
  6. Step 6: Final answer
    x = 64.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.