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Finding the Fourth Proportional to 65.93, 90.36 and 64.98

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Solution

The fourth proportional to 65.93, 90.36 and 64.98 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.93 : 90.36 = 64.98 : x
  2. Step 2: Convert to fraction form
    65.93/90.36 = 64.98/x
  3. Step 3: Cross multiply
    65.93x = 90.36 × 64.98
  4. Step 4: Simplify right side
    65.93x = 5,871.59
  5. Step 5: Solve for x
    x = 5,871.59/65.93
  6. Step 6: Final answer
    x = 89.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.