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Finding the Fourth Proportional to 102.33, 153.43 and 61.70

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Solution

The fourth proportional to 102.33, 153.43 and 61.70 is: 92.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 153.43 = 61.70 : x
  2. Step 2: Convert to fraction form
    102.33/153.43 = 61.70/x
  3. Step 3: Cross multiply
    102.33x = 153.43 × 61.70
  4. Step 4: Simplify right side
    102.33x = 9,465.71
  5. Step 5: Solve for x
    x = 9,465.71/102.33
  6. Step 6: Final answer
    x = 92.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.