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Finding the Fourth Proportional to 107.59, 148.47 and 58.46

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Solution

The fourth proportional to 107.59, 148.47 and 58.46 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.59 : 148.47 = 58.46 : x
  2. Step 2: Convert to fraction form
    107.59/148.47 = 58.46/x
  3. Step 3: Cross multiply
    107.59x = 148.47 × 58.46
  4. Step 4: Simplify right side
    107.59x = 8,679.71
  5. Step 5: Solve for x
    x = 8,679.71/107.59
  6. Step 6: Final answer
    x = 80.68

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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.