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Finding the Fourth Proportional to 11.58, 16 and 10.42

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Solution

The fourth proportional to 11.58, 16 and 10.42 is: 14.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.58 : 16 = 10.42 : x
  2. Step 2: Convert to fraction form
    11.58/16 = 10.42/x
  3. Step 3: Cross multiply
    11.58x = 16 × 10.42
  4. Step 4: Simplify right side
    11.58x = 166.72
  5. Step 5: Solve for x
    x = 166.72/11.58
  6. Step 6: Final answer
    x = 14.40

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1.5x scale

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.