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Finding the Fourth Proportional to 72.96, 109.98 and 69.06

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Solution

The fourth proportional to 72.96, 109.98 and 69.06 is: 104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.96 : 109.98 = 69.06 : x
  2. Step 2: Convert to fraction form
    72.96/109.98 = 69.06/x
  3. Step 3: Cross multiply
    72.96x = 109.98 × 69.06
  4. Step 4: Simplify right side
    72.96x = 7,595.22
  5. Step 5: Solve for x
    x = 7,595.22/72.96
  6. Step 6: Final answer
    x = 104.10

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