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Finding the Fourth Proportional to 107.94, 148.90 and 64.26

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Solution

The fourth proportional to 107.94, 148.90 and 64.26 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 148.90 = 64.26 : x
  2. Step 2: Convert to fraction form
    107.94/148.90 = 64.26/x
  3. Step 3: Cross multiply
    107.94x = 148.90 × 64.26
  4. Step 4: Simplify right side
    107.94x = 9,568.31
  5. Step 5: Solve for x
    x = 9,568.31/107.94
  6. Step 6: Final answer
    x = 88.64

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Why These Related Problems?

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