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Finding the Fourth Proportional to 108.48, 148.62 and 104.16

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Solution

The fourth proportional to 108.48, 148.62 and 104.16 is: 142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.48 : 148.62 = 104.16 : x
  2. Step 2: Convert to fraction form
    108.48/148.62 = 104.16/x
  3. Step 3: Cross multiply
    108.48x = 148.62 × 104.16
  4. Step 4: Simplify right side
    108.48x = 15,480.26
  5. Step 5: Solve for x
    x = 15,480.26/108.48
  6. Step 6: Final answer
    x = 142.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.