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Finding the Fourth Proportional to 51.55, 70.96 and 45.07

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Solution

The fourth proportional to 51.55, 70.96 and 45.07 is: 62.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.55 : 70.96 = 45.07 : x
  2. Step 2: Convert to fraction form
    51.55/70.96 = 45.07/x
  3. Step 3: Cross multiply
    51.55x = 70.96 × 45.07
  4. Step 4: Simplify right side
    51.55x = 3,198.17
  5. Step 5: Solve for x
    x = 3,198.17/51.55
  6. Step 6: Final answer
    x = 62.04

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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.