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Finding the Fourth Proportional to 125.10, 172.81 and 96.35

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Solution

The fourth proportional to 125.10, 172.81 and 96.35 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.81 = 96.35 : x
  2. Step 2: Convert to fraction form
    125.10/172.81 = 96.35/x
  3. Step 3: Cross multiply
    125.10x = 172.81 × 96.35
  4. Step 4: Simplify right side
    125.10x = 16,649.76
  5. Step 5: Solve for x
    x = 16,649.76/125.10
  6. Step 6: Final answer
    x = 133.09

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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.