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Finding the Fourth Proportional to 108.96, 162.30 and 105.08

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Solution

The fourth proportional to 108.96, 162.30 and 105.08 is: 156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 162.30 = 105.08 : x
  2. Step 2: Convert to fraction form
    108.96/162.30 = 105.08/x
  3. Step 3: Cross multiply
    108.96x = 162.30 × 105.08
  4. Step 4: Simplify right side
    108.96x = 17,054.48
  5. Step 5: Solve for x
    x = 17,054.48/108.96
  6. Step 6: Final answer
    x = 156.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.