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Finding the Fourth Proportional to 106, 146.25 and 64.54

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Solution

The fourth proportional to 106, 146.25 and 64.54 is: 89.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 146.25 = 64.54 : x
  2. Step 2: Convert to fraction form
    106/146.25 = 64.54/x
  3. Step 3: Cross multiply
    106x = 146.25 × 64.54
  4. Step 4: Simplify right side
    106x = 9,438.98
  5. Step 5: Solve for x
    x = 9,438.98/106
  6. Step 6: Final answer
    x = 89.05

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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.