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Finding the Fourth Proportional to 102.93, 153.57 and 89.43

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Solution

The fourth proportional to 102.93, 153.57 and 89.43 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 153.57 = 89.43 : x
  2. Step 2: Convert to fraction form
    102.93/153.57 = 89.43/x
  3. Step 3: Cross multiply
    102.93x = 153.57 × 89.43
  4. Step 4: Simplify right side
    102.93x = 13,733.77
  5. Step 5: Solve for x
    x = 13,733.77/102.93
  6. Step 6: Final answer
    x = 133.43

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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.