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Finding the Fourth Proportional to 65.46, 97.66 and 57.77

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Solution

The fourth proportional to 65.46, 97.66 and 57.77 is: 86.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 97.66 = 57.77 : x
  2. Step 2: Convert to fraction form
    65.46/97.66 = 57.77/x
  3. Step 3: Cross multiply
    65.46x = 97.66 × 57.77
  4. Step 4: Simplify right side
    65.46x = 5,641.51
  5. Step 5: Solve for x
    x = 5,641.51/65.46
  6. Step 6: Final answer
    x = 86.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.