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Finding the Fourth Proportional to 107.70, 148.64 and 61.09

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Solution

The fourth proportional to 107.70, 148.64 and 61.09 is: 84.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 148.64 = 61.09 : x
  2. Step 2: Convert to fraction form
    107.70/148.64 = 61.09/x
  3. Step 3: Cross multiply
    107.70x = 148.64 × 61.09
  4. Step 4: Simplify right side
    107.70x = 9,079.37
  5. Step 5: Solve for x
    x = 9,079.37/107.70
  6. Step 6: Final answer
    x = 84.31

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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.