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Finding the Fourth Proportional to 108.02, 162.84 and 101.06

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Solution

The fourth proportional to 108.02, 162.84 and 101.06 is: 152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 162.84 = 101.06 : x
  2. Step 2: Convert to fraction form
    108.02/162.84 = 101.06/x
  3. Step 3: Cross multiply
    108.02x = 162.84 × 101.06
  4. Step 4: Simplify right side
    108.02x = 16,456.61
  5. Step 5: Solve for x
    x = 16,456.61/108.02
  6. Step 6: Final answer
    x = 152.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.