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Finding the Fourth Proportional to 162.98, 225.02 and 100.88

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Solution

The fourth proportional to 162.98, 225.02 and 100.88 is: 139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 225.02 = 100.88 : x
  2. Step 2: Convert to fraction form
    162.98/225.02 = 100.88/x
  3. Step 3: Cross multiply
    162.98x = 225.02 × 100.88
  4. Step 4: Simplify right side
    162.98x = 22,700.87
  5. Step 5: Solve for x
    x = 22,700.87/162.98
  6. Step 6: Final answer
    x = 139.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.