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Finding the Fourth Proportional to 102.30, 152.30 and 101.70

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Solution

The fourth proportional to 102.30, 152.30 and 101.70 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 152.30 = 101.70 : x
  2. Step 2: Convert to fraction form
    102.30/152.30 = 101.70/x
  3. Step 3: Cross multiply
    102.30x = 152.30 × 101.70
  4. Step 4: Simplify right side
    102.30x = 15,488.40
  5. Step 5: Solve for x
    x = 15,488.40/102.30
  6. Step 6: Final answer
    x = 151.40

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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.