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Finding the Fourth Proportional to 70.10, 96.76 and 51.64

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Solution

The fourth proportional to 70.10, 96.76 and 51.64 is: 71.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 96.76 = 51.64 : x
  2. Step 2: Convert to fraction form
    70.10/96.76 = 51.64/x
  3. Step 3: Cross multiply
    70.10x = 96.76 × 51.64
  4. Step 4: Simplify right side
    70.10x = 4,996.69
  5. Step 5: Solve for x
    x = 4,996.69/70.10
  6. Step 6: Final answer
    x = 71.28

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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.