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Finding the Fourth Proportional to 51.30, 70.76 and 43.10

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Solution

The fourth proportional to 51.30, 70.76 and 43.10 is: 59.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.30 : 70.76 = 43.10 : x
  2. Step 2: Convert to fraction form
    51.30/70.76 = 43.10/x
  3. Step 3: Cross multiply
    51.30x = 70.76 × 43.10
  4. Step 4: Simplify right side
    51.30x = 3,049.76
  5. Step 5: Solve for x
    x = 3,049.76/51.30
  6. Step 6: Final answer
    x = 59.45

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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.