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Finding the Fourth Proportional to 65.65, 98.44 and 42.77

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Solution

The fourth proportional to 65.65, 98.44 and 42.77 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.65 : 98.44 = 42.77 : x
  2. Step 2: Convert to fraction form
    65.65/98.44 = 42.77/x
  3. Step 3: Cross multiply
    65.65x = 98.44 × 42.77
  4. Step 4: Simplify right side
    65.65x = 4,210.28
  5. Step 5: Solve for x
    x = 4,210.28/65.65
  6. Step 6: Final answer
    x = 64.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.