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Finding the Fourth Proportional to 102.55, 143.30 and 102.55

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Solution

The fourth proportional to 102.55, 143.30 and 102.55 is: 143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.55 : 143.30 = 102.55 : x
  2. Step 2: Convert to fraction form
    102.55/143.30 = 102.55/x
  3. Step 3: Cross multiply
    102.55x = 143.30 × 102.55
  4. Step 4: Simplify right side
    102.55x = 14,695.42
  5. Step 5: Solve for x
    x = 14,695.42/102.55
  6. Step 6: Final answer
    x = 143.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.