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Finding the Fourth Proportional to 104.55, 156.06 and 89.16

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Solution

The fourth proportional to 104.55, 156.06 and 89.16 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.55 : 156.06 = 89.16 : x
  2. Step 2: Convert to fraction form
    104.55/156.06 = 89.16/x
  3. Step 3: Cross multiply
    104.55x = 156.06 × 89.16
  4. Step 4: Simplify right side
    104.55x = 13,914.31
  5. Step 5: Solve for x
    x = 13,914.31/104.55
  6. Step 6: Final answer
    x = 133.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.