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Finding the Fourth Proportional to 61.64, 85.06 and 35.76

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Solution

The fourth proportional to 61.64, 85.06 and 35.76 is: 49.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.64 : 85.06 = 35.76 : x
  2. Step 2: Convert to fraction form
    61.64/85.06 = 35.76/x
  3. Step 3: Cross multiply
    61.64x = 85.06 × 35.76
  4. Step 4: Simplify right side
    61.64x = 3,041.75
  5. Step 5: Solve for x
    x = 3,041.75/61.64
  6. Step 6: Final answer
    x = 49.35

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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.