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Finding the Fourth Proportional to 102.47, 153.53 and 71.98

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Solution

The fourth proportional to 102.47, 153.53 and 71.98 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 153.53 = 71.98 : x
  2. Step 2: Convert to fraction form
    102.47/153.53 = 71.98/x
  3. Step 3: Cross multiply
    102.47x = 153.53 × 71.98
  4. Step 4: Simplify right side
    102.47x = 11,051.09
  5. Step 5: Solve for x
    x = 11,051.09/102.47
  6. Step 6: Final answer
    x = 107.85

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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.