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Finding the Fourth Proportional to 96.69, 145.59 and 71.18

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Solution

The fourth proportional to 96.69, 145.59 and 71.18 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 145.59 = 71.18 : x
  2. Step 2: Convert to fraction form
    96.69/145.59 = 71.18/x
  3. Step 3: Cross multiply
    96.69x = 145.59 × 71.18
  4. Step 4: Simplify right side
    96.69x = 10,362.37
  5. Step 5: Solve for x
    x = 10,362.37/96.69
  6. Step 6: Final answer
    x = 107.17

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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.