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Finding the Fourth Proportional to 51.23, 70.71 and 30.53

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Solution

The fourth proportional to 51.23, 70.71 and 30.53 is: 42.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.23 : 70.71 = 30.53 : x
  2. Step 2: Convert to fraction form
    51.23/70.71 = 30.53/x
  3. Step 3: Cross multiply
    51.23x = 70.71 × 30.53
  4. Step 4: Simplify right side
    51.23x = 2,158.42
  5. Step 5: Solve for x
    x = 2,158.42/51.23
  6. Step 6: Final answer
    x = 42.13

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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.