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Finding the Fourth Proportional to 102.61, 141.57 and 65.77

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Solution

The fourth proportional to 102.61, 141.57 and 65.77 is: 90.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.61 : 141.57 = 65.77 : x
  2. Step 2: Convert to fraction form
    102.61/141.57 = 65.77/x
  3. Step 3: Cross multiply
    102.61x = 141.57 × 65.77
  4. Step 4: Simplify right side
    102.61x = 9,311.06
  5. Step 5: Solve for x
    x = 9,311.06/102.61
  6. Step 6: Final answer
    x = 90.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.