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Finding the Fourth Proportional to 73.16, 109.64 and 46.06

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Solution

The fourth proportional to 73.16, 109.64 and 46.06 is: 69.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 109.64 = 46.06 : x
  2. Step 2: Convert to fraction form
    73.16/109.64 = 46.06/x
  3. Step 3: Cross multiply
    73.16x = 109.64 × 46.06
  4. Step 4: Simplify right side
    73.16x = 5,050.02
  5. Step 5: Solve for x
    x = 5,050.02/73.16
  6. Step 6: Final answer
    x = 69.03

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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.