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Finding the Fourth Proportional to 55.08, 76.06 and 46.70

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Solution

The fourth proportional to 55.08, 76.06 and 46.70 is: 64.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 76.06 = 46.70 : x
  2. Step 2: Convert to fraction form
    55.08/76.06 = 46.70/x
  3. Step 3: Cross multiply
    55.08x = 76.06 × 46.70
  4. Step 4: Simplify right side
    55.08x = 3,552.00
  5. Step 5: Solve for x
    x = 3,552.00/55.08
  6. Step 6: Final answer
    x = 64.49

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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.