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Finding the Fourth Proportional to 65.54, 90.30 and 51.50

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Solution

The fourth proportional to 65.54, 90.30 and 51.50 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 90.30 = 51.50 : x
  2. Step 2: Convert to fraction form
    65.54/90.30 = 51.50/x
  3. Step 3: Cross multiply
    65.54x = 90.30 × 51.50
  4. Step 4: Simplify right side
    65.54x = 4,650.45
  5. Step 5: Solve for x
    x = 4,650.45/65.54
  6. Step 6: Final answer
    x = 70.96

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Why These Related Problems?

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