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Finding the Fourth Proportional to 107.74, 148.72 and 64.09

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Solution

The fourth proportional to 107.74, 148.72 and 64.09 is: 88.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.74 : 148.72 = 64.09 : x
  2. Step 2: Convert to fraction form
    107.74/148.72 = 64.09/x
  3. Step 3: Cross multiply
    107.74x = 148.72 × 64.09
  4. Step 4: Simplify right side
    107.74x = 9,531.14
  5. Step 5: Solve for x
    x = 9,531.14/107.74
  6. Step 6: Final answer
    x = 88.46

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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.