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Finding the Fourth Proportional to 107.78, 148.74 and 64.12

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Solution

The fourth proportional to 107.78, 148.74 and 64.12 is: 88.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.74 = 64.12 : x
  2. Step 2: Convert to fraction form
    107.78/148.74 = 64.12/x
  3. Step 3: Cross multiply
    107.78x = 148.74 × 64.12
  4. Step 4: Simplify right side
    107.78x = 9,537.21
  5. Step 5: Solve for x
    x = 9,537.21/107.78
  6. Step 6: Final answer
    x = 88.49

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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.