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Finding the Fourth Proportional to 65.64, 90.56 and 41.08

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Solution

The fourth proportional to 65.64, 90.56 and 41.08 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 90.56 = 41.08 : x
  2. Step 2: Convert to fraction form
    65.64/90.56 = 41.08/x
  3. Step 3: Cross multiply
    65.64x = 90.56 × 41.08
  4. Step 4: Simplify right side
    65.64x = 3,720.20
  5. Step 5: Solve for x
    x = 3,720.20/65.64
  6. Step 6: Final answer
    x = 56.68

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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.