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Finding the Fourth Proportional to 107.56, 148.32 and 76.48

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Solution

The fourth proportional to 107.56, 148.32 and 76.48 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.56 : 148.32 = 76.48 : x
  2. Step 2: Convert to fraction form
    107.56/148.32 = 76.48/x
  3. Step 3: Cross multiply
    107.56x = 148.32 × 76.48
  4. Step 4: Simplify right side
    107.56x = 11,343.51
  5. Step 5: Solve for x
    x = 11,343.51/107.56
  6. Step 6: Final answer
    x = 105.46

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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.