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Finding the Fourth Proportional to 107.72, 148.67 and 64.07

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Solution

The fourth proportional to 107.72, 148.67 and 64.07 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.72 : 148.67 = 64.07 : x
  2. Step 2: Convert to fraction form
    107.72/148.67 = 64.07/x
  3. Step 3: Cross multiply
    107.72x = 148.67 × 64.07
  4. Step 4: Simplify right side
    107.72x = 9,525.29
  5. Step 5: Solve for x
    x = 9,525.29/107.72
  6. Step 6: Final answer
    x = 88.43

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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.