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Finding the Fourth Proportional to 106.64, 146.92 and 88.16

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Solution

The fourth proportional to 106.64, 146.92 and 88.16 is: 121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 146.92 = 88.16 : x
  2. Step 2: Convert to fraction form
    106.64/146.92 = 88.16/x
  3. Step 3: Cross multiply
    106.64x = 146.92 × 88.16
  4. Step 4: Simplify right side
    106.64x = 12,952.47
  5. Step 5: Solve for x
    x = 12,952.47/106.64
  6. Step 6: Final answer
    x = 121.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.