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Finding the Fourth Proportional to 107.78, 148.82 and 88.10

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Solution

The fourth proportional to 107.78, 148.82 and 88.10 is: 121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.82 = 88.10 : x
  2. Step 2: Convert to fraction form
    107.78/148.82 = 88.10/x
  3. Step 3: Cross multiply
    107.78x = 148.82 × 88.10
  4. Step 4: Simplify right side
    107.78x = 13,111.75
  5. Step 5: Solve for x
    x = 13,111.75/107.78
  6. Step 6: Final answer
    x = 121.65

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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.