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Finding the Fourth Proportional to 65.19, 90 and 41.93

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Solution

The fourth proportional to 65.19, 90 and 41.93 is: 57.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.19 : 90 = 41.93 : x
  2. Step 2: Convert to fraction form
    65.19/90 = 41.93/x
  3. Step 3: Cross multiply
    65.19x = 90 × 41.93
  4. Step 4: Simplify right side
    65.19x = 3,773.93
  5. Step 5: Solve for x
    x = 3,773.93/65.19
  6. Step 6: Final answer
    x = 57.89

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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.