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Finding the Fourth Proportional to 102.63, 153.77 and 82.47

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Solution

The fourth proportional to 102.63, 153.77 and 82.47 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 153.77 = 82.47 : x
  2. Step 2: Convert to fraction form
    102.63/153.77 = 82.47/x
  3. Step 3: Cross multiply
    102.63x = 153.77 × 82.47
  4. Step 4: Simplify right side
    102.63x = 12,681.62
  5. Step 5: Solve for x
    x = 12,681.62/102.63
  6. Step 6: Final answer
    x = 123.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.