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Finding the Fourth Proportional to 65.62, 97.91 and 59.54

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Solution

The fourth proportional to 65.62, 97.91 and 59.54 is: 88.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.62 : 97.91 = 59.54 : x
  2. Step 2: Convert to fraction form
    65.62/97.91 = 59.54/x
  3. Step 3: Cross multiply
    65.62x = 97.91 × 59.54
  4. Step 4: Simplify right side
    65.62x = 5,829.51
  5. Step 5: Solve for x
    x = 5,829.51/65.62
  6. Step 6: Final answer
    x = 88.84

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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.