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Finding the Fourth Proportional to 46.64, 70.13 and 45.02

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Solution

The fourth proportional to 46.64, 70.13 and 45.02 is: 67.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.64 : 70.13 = 45.02 : x
  2. Step 2: Convert to fraction form
    46.64/70.13 = 45.02/x
  3. Step 3: Cross multiply
    46.64x = 70.13 × 45.02
  4. Step 4: Simplify right side
    46.64x = 3,157.54
  5. Step 5: Solve for x
    x = 3,157.54/46.64
  6. Step 6: Final answer
    x = 67.70

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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.