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Finding the Fourth Proportional to 102.46, 141.40 and 65.57

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Solution

The fourth proportional to 102.46, 141.40 and 65.57 is: 90.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 141.40 = 65.57 : x
  2. Step 2: Convert to fraction form
    102.46/141.40 = 65.57/x
  3. Step 3: Cross multiply
    102.46x = 141.40 × 65.57
  4. Step 4: Simplify right side
    102.46x = 9,271.27
  5. Step 5: Solve for x
    x = 9,271.27/102.46
  6. Step 6: Final answer
    x = 90.49

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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.