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Finding the Fourth Proportional to 65.07, 89.77 and 38.84

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Solution

The fourth proportional to 65.07, 89.77 and 38.84 is: 53.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 89.77 = 38.84 : x
  2. Step 2: Convert to fraction form
    65.07/89.77 = 38.84/x
  3. Step 3: Cross multiply
    65.07x = 89.77 × 38.84
  4. Step 4: Simplify right side
    65.07x = 3,486.34
  5. Step 5: Solve for x
    x = 3,486.34/65.07
  6. Step 6: Final answer
    x = 53.58

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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.