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Finding the Fourth Proportional to 102.93, 153.61 and 94.29

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Solution

The fourth proportional to 102.93, 153.61 and 94.29 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 153.61 = 94.29 : x
  2. Step 2: Convert to fraction form
    102.93/153.61 = 94.29/x
  3. Step 3: Cross multiply
    102.93x = 153.61 × 94.29
  4. Step 4: Simplify right side
    102.93x = 14,483.89
  5. Step 5: Solve for x
    x = 14,483.89/102.93
  6. Step 6: Final answer
    x = 140.72

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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.