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Finding the Fourth Proportional to 100.35, 138.16 and 95.22

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Solution

The fourth proportional to 100.35, 138.16 and 95.22 is: 131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.35 : 138.16 = 95.22 : x
  2. Step 2: Convert to fraction form
    100.35/138.16 = 95.22/x
  3. Step 3: Cross multiply
    100.35x = 138.16 × 95.22
  4. Step 4: Simplify right side
    100.35x = 13,155.71
  5. Step 5: Solve for x
    x = 13,155.71/100.35
  6. Step 6: Final answer
    x = 131.10

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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.