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Finding the Fourth Proportional to 76.47, 104.98 and 70.32

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Solution

The fourth proportional to 76.47, 104.98 and 70.32 is: 96.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.47 : 104.98 = 70.32 : x
  2. Step 2: Convert to fraction form
    76.47/104.98 = 70.32/x
  3. Step 3: Cross multiply
    76.47x = 104.98 × 70.32
  4. Step 4: Simplify right side
    76.47x = 7,382.74
  5. Step 5: Solve for x
    x = 7,382.74/76.47
  6. Step 6: Final answer
    x = 96.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.