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Finding the Fourth Proportional to 10.40, 15.58 and 5.57

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Solution

The fourth proportional to 10.40, 15.58 and 5.57 is: 8.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 15.58 = 5.57 : x
  2. Step 2: Convert to fraction form
    10.40/15.58 = 5.57/x
  3. Step 3: Cross multiply
    10.40x = 15.58 × 5.57
  4. Step 4: Simplify right side
    10.40x = 86.77
  5. Step 5: Solve for x
    x = 86.77/10.40
  6. Step 6: Final answer
    x = 8.35

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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.