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Finding the Fourth Proportional to 99.49, 137.32 and 64.50

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Solution

The fourth proportional to 99.49, 137.32 and 64.50 is: 89.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.49 : 137.32 = 64.50 : x
  2. Step 2: Convert to fraction form
    99.49/137.32 = 64.50/x
  3. Step 3: Cross multiply
    99.49x = 137.32 × 64.50
  4. Step 4: Simplify right side
    99.49x = 8,857.14
  5. Step 5: Solve for x
    x = 8,857.14/99.49
  6. Step 6: Final answer
    x = 89.03

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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.