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Finding the Fourth Proportional to 73.07, 109.04 and 64.38

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Solution

The fourth proportional to 73.07, 109.04 and 64.38 is: 96.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.07 : 109.04 = 64.38 : x
  2. Step 2: Convert to fraction form
    73.07/109.04 = 64.38/x
  3. Step 3: Cross multiply
    73.07x = 109.04 × 64.38
  4. Step 4: Simplify right side
    73.07x = 7,019.67
  5. Step 5: Solve for x
    x = 7,019.67/73.07
  6. Step 6: Final answer
    x = 96.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.