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Finding the Fourth Proportional to 1.76, 2.64 and 0.42

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Solution

The fourth proportional to 1.76, 2.64 and 0.42 is: 0.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.76 : 2.64 = 0.42 : x
  2. Step 2: Convert to fraction form
    1.76/2.64 = 0.42/x
  3. Step 3: Cross multiply
    1.76x = 2.64 × 0.42
  4. Step 4: Simplify right side
    1.76x = 1.11
  5. Step 5: Solve for x
    x = 1.11/1.76
  6. Step 6: Final answer
    x = 0.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.