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Finding the Fourth Proportional to 102.53, 153.00 and 84.53

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Solution

The fourth proportional to 102.53, 153.00 and 84.53 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.00 = 84.53 : x
  2. Step 2: Convert to fraction form
    102.53/153.00 = 84.53/x
  3. Step 3: Cross multiply
    102.53x = 153.00 × 84.53
  4. Step 4: Simplify right side
    102.53x = 12,932.01
  5. Step 5: Solve for x
    x = 12,932.01/102.53
  6. Step 6: Final answer
    x = 126.14

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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.