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Finding the Fourth Proportional to 310.10, 465.12 and 90.74

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Solution

The fourth proportional to 310.10, 465.12 and 90.74 is: 136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 465.12 = 90.74 : x
  2. Step 2: Convert to fraction form
    310.10/465.12 = 90.74/x
  3. Step 3: Cross multiply
    310.10x = 465.12 × 90.74
  4. Step 4: Simplify right side
    310.10x = 42,202.66
  5. Step 5: Solve for x
    x = 42,202.66/310.10
  6. Step 6: Final answer
    x = 136.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.