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Finding the Fourth Proportional to 96.58, 145.53 and 79.84

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Solution

The fourth proportional to 96.58, 145.53 and 79.84 is: 120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.58 : 145.53 = 79.84 : x
  2. Step 2: Convert to fraction form
    96.58/145.53 = 79.84/x
  3. Step 3: Cross multiply
    96.58x = 145.53 × 79.84
  4. Step 4: Simplify right side
    96.58x = 11,618.69
  5. Step 5: Solve for x
    x = 11,618.69/96.58
  6. Step 6: Final answer
    x = 120.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.