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Finding the Fourth Proportional to 55.60, 76.72 and 42.64

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Solution

The fourth proportional to 55.60, 76.72 and 42.64 is: 58.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.60 : 76.72 = 42.64 : x
  2. Step 2: Convert to fraction form
    55.60/76.72 = 42.64/x
  3. Step 3: Cross multiply
    55.60x = 76.72 × 42.64
  4. Step 4: Simplify right side
    55.60x = 3,271.34
  5. Step 5: Solve for x
    x = 3,271.34/55.60
  6. Step 6: Final answer
    x = 58.84

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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.