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Finding the Fourth Proportional to 76.31, 105.06 and 64.01

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Solution

The fourth proportional to 76.31, 105.06 and 64.01 is: 88.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.31 : 105.06 = 64.01 : x
  2. Step 2: Convert to fraction form
    76.31/105.06 = 64.01/x
  3. Step 3: Cross multiply
    76.31x = 105.06 × 64.01
  4. Step 4: Simplify right side
    76.31x = 6,724.89
  5. Step 5: Solve for x
    x = 6,724.89/76.31
  6. Step 6: Final answer
    x = 88.13

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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.