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Finding the Fourth Proportional to 106.65, 159.93 and 66.08

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Solution

The fourth proportional to 106.65, 159.93 and 66.08 is: 99.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 159.93 = 66.08 : x
  2. Step 2: Convert to fraction form
    106.65/159.93 = 66.08/x
  3. Step 3: Cross multiply
    106.65x = 159.93 × 66.08
  4. Step 4: Simplify right side
    106.65x = 10,567.37
  5. Step 5: Solve for x
    x = 10,567.37/106.65
  6. Step 6: Final answer
    x = 99.08

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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.