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Finding the Fourth Proportional to 65.50, 90.40 and 49.98

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Solution

The fourth proportional to 65.50, 90.40 and 49.98 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 90.40 = 49.98 : x
  2. Step 2: Convert to fraction form
    65.50/90.40 = 49.98/x
  3. Step 3: Cross multiply
    65.50x = 90.40 × 49.98
  4. Step 4: Simplify right side
    65.50x = 4,518.19
  5. Step 5: Solve for x
    x = 4,518.19/65.50
  6. Step 6: Final answer
    x = 68.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.