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Finding the Fourth Proportional to 89.70, 135.29 and 89.70

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Solution

The fourth proportional to 89.70, 135.29 and 89.70 is: 135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 135.29 = 89.70 : x
  2. Step 2: Convert to fraction form
    89.70/135.29 = 89.70/x
  3. Step 3: Cross multiply
    89.70x = 135.29 × 89.70
  4. Step 4: Simplify right side
    89.70x = 12,135.06
  5. Step 5: Solve for x
    x = 12,135.06/89.70
  6. Step 6: Final answer
    x = 135.29

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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.