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Finding the Fourth Proportional to 51.10, 70.50 and 31.16

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Solution

The fourth proportional to 51.10, 70.50 and 31.16 is: 42.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.10 : 70.50 = 31.16 : x
  2. Step 2: Convert to fraction form
    51.10/70.50 = 31.16/x
  3. Step 3: Cross multiply
    51.10x = 70.50 × 31.16
  4. Step 4: Simplify right side
    51.10x = 2,196.43
  5. Step 5: Solve for x
    x = 2,196.43/51.10
  6. Step 6: Final answer
    x = 42.99

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Why These Related Problems?

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