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Finding the Fourth Proportional to 65.27, 90.02 and 45.58

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Solution

The fourth proportional to 65.27, 90.02 and 45.58 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.27 : 90.02 = 45.58 : x
  2. Step 2: Convert to fraction form
    65.27/90.02 = 45.58/x
  3. Step 3: Cross multiply
    65.27x = 90.02 × 45.58
  4. Step 4: Simplify right side
    65.27x = 4,102.43
  5. Step 5: Solve for x
    x = 4,102.43/65.27
  6. Step 6: Final answer
    x = 62.85

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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.