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Finding the Fourth Proportional to 73.95, 110.79 and 64.35

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Solution

The fourth proportional to 73.95, 110.79 and 64.35 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.95 : 110.79 = 64.35 : x
  2. Step 2: Convert to fraction form
    73.95/110.79 = 64.35/x
  3. Step 3: Cross multiply
    73.95x = 110.79 × 64.35
  4. Step 4: Simplify right side
    73.95x = 7,129.34
  5. Step 5: Solve for x
    x = 7,129.34/73.95
  6. Step 6: Final answer
    x = 96.41

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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.