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Finding the Fourth Proportional to 55.64, 76.70 and 46.91

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Solution

The fourth proportional to 55.64, 76.70 and 46.91 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.64 : 76.70 = 46.91 : x
  2. Step 2: Convert to fraction form
    55.64/76.70 = 46.91/x
  3. Step 3: Cross multiply
    55.64x = 76.70 × 46.91
  4. Step 4: Simplify right side
    55.64x = 3,598.31
  5. Step 5: Solve for x
    x = 3,598.31/55.64
  6. Step 6: Final answer
    x = 64.67

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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.