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Finding the Fourth Proportional to 51.07, 70.35 and 48.40

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Solution

The fourth proportional to 51.07, 70.35 and 48.40 is: 66.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 70.35 = 48.40 : x
  2. Step 2: Convert to fraction form
    51.07/70.35 = 48.40/x
  3. Step 3: Cross multiply
    51.07x = 70.35 × 48.40
  4. Step 4: Simplify right side
    51.07x = 3,404.94
  5. Step 5: Solve for x
    x = 3,404.94/51.07
  6. Step 6: Final answer
    x = 66.67

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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.