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Finding the Fourth Proportional to 106.25, 146.59 and 64.26

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Solution

The fourth proportional to 106.25, 146.59 and 64.26 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 146.59 = 64.26 : x
  2. Step 2: Convert to fraction form
    106.25/146.59 = 64.26/x
  3. Step 3: Cross multiply
    106.25x = 146.59 × 64.26
  4. Step 4: Simplify right side
    106.25x = 9,419.14
  5. Step 5: Solve for x
    x = 9,419.14/106.25
  6. Step 6: Final answer
    x = 88.65

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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.