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Finding the Fourth Proportional to 102.93, 141.75 and 89.81

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Solution

The fourth proportional to 102.93, 141.75 and 89.81 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 141.75 = 89.81 : x
  2. Step 2: Convert to fraction form
    102.93/141.75 = 89.81/x
  3. Step 3: Cross multiply
    102.93x = 141.75 × 89.81
  4. Step 4: Simplify right side
    102.93x = 12,729.86
  5. Step 5: Solve for x
    x = 12,729.86/102.93
  6. Step 6: Final answer
    x = 123.67

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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.