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Finding the Fourth Proportional to 46.75, 70.14 and 45.99

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Solution

The fourth proportional to 46.75, 70.14 and 45.99 is: 69.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 70.14 = 45.99 : x
  2. Step 2: Convert to fraction form
    46.75/70.14 = 45.99/x
  3. Step 3: Cross multiply
    46.75x = 70.14 × 45.99
  4. Step 4: Simplify right side
    46.75x = 3,225.74
  5. Step 5: Solve for x
    x = 3,225.74/46.75
  6. Step 6: Final answer
    x = 69.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.