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Finding the Fourth Proportional to 108.15, 148.80 and 105.72

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Solution

The fourth proportional to 108.15, 148.80 and 105.72 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.15 : 148.80 = 105.72 : x
  2. Step 2: Convert to fraction form
    108.15/148.80 = 105.72/x
  3. Step 3: Cross multiply
    108.15x = 148.80 × 105.72
  4. Step 4: Simplify right side
    108.15x = 15,731.14
  5. Step 5: Solve for x
    x = 15,731.14/108.15
  6. Step 6: Final answer
    x = 145.46

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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.