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Finding the Fourth Proportional to 102.30, 153.45 and 96.70

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Solution

The fourth proportional to 102.30, 153.45 and 96.70 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 153.45 = 96.70 : x
  2. Step 2: Convert to fraction form
    102.30/153.45 = 96.70/x
  3. Step 3: Cross multiply
    102.30x = 153.45 × 96.70
  4. Step 4: Simplify right side
    102.30x = 14,838.62
  5. Step 5: Solve for x
    x = 14,838.62/102.30
  6. Step 6: Final answer
    x = 145.05

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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.