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Finding the Fourth Proportional to 107.80, 148.78 and 66.35

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Solution

The fourth proportional to 107.80, 148.78 and 66.35 is: 91.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.80 : 148.78 = 66.35 : x
  2. Step 2: Convert to fraction form
    107.80/148.78 = 66.35/x
  3. Step 3: Cross multiply
    107.80x = 148.78 × 66.35
  4. Step 4: Simplify right side
    107.80x = 9,871.55
  5. Step 5: Solve for x
    x = 9,871.55/107.80
  6. Step 6: Final answer
    x = 91.57

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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.