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Finding the Fourth Proportional to 73.68, 110.35 and 58.34

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Solution

The fourth proportional to 73.68, 110.35 and 58.34 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 110.35 = 58.34 : x
  2. Step 2: Convert to fraction form
    73.68/110.35 = 58.34/x
  3. Step 3: Cross multiply
    73.68x = 110.35 × 58.34
  4. Step 4: Simplify right side
    73.68x = 6,437.82
  5. Step 5: Solve for x
    x = 6,437.82/73.68
  6. Step 6: Final answer
    x = 87.38

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