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Finding the Fourth Proportional to 73.44, 110.76 and 64

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Solution

The fourth proportional to 73.44, 110.76 and 64 is: 96.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.44 : 110.76 = 64 : x
  2. Step 2: Convert to fraction form
    73.44/110.76 = 64/x
  3. Step 3: Cross multiply
    73.44x = 110.76 × 64
  4. Step 4: Simplify right side
    73.44x = 7,088.64
  5. Step 5: Solve for x
    x = 7,088.64/73.44
  6. Step 6: Final answer
    x = 96.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.