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Finding the Fourth Proportional to 107.47, 148.06 and 85.60

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Solution

The fourth proportional to 107.47, 148.06 and 85.60 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.47 : 148.06 = 85.60 : x
  2. Step 2: Convert to fraction form
    107.47/148.06 = 85.60/x
  3. Step 3: Cross multiply
    107.47x = 148.06 × 85.60
  4. Step 4: Simplify right side
    107.47x = 12,673.94
  5. Step 5: Solve for x
    x = 12,673.94/107.47
  6. Step 6: Final answer
    x = 117.93

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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.