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Finding the Fourth Proportional to 89.04, 134.07 and 65.16

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Solution

The fourth proportional to 89.04, 134.07 and 65.16 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 134.07 = 65.16 : x
  2. Step 2: Convert to fraction form
    89.04/134.07 = 65.16/x
  3. Step 3: Cross multiply
    89.04x = 134.07 × 65.16
  4. Step 4: Simplify right side
    89.04x = 8,736.00
  5. Step 5: Solve for x
    x = 8,736.00/89.04
  6. Step 6: Final answer
    x = 98.11

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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.