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Finding the Fourth Proportional to 1.15, 1.58 and 1.00

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Solution

The fourth proportional to 1.15, 1.58 and 1.00 is: 1.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.15 : 1.58 = 1.00 : x
  2. Step 2: Convert to fraction form
    1.15/1.58 = 1.00/x
  3. Step 3: Cross multiply
    1.15x = 1.58 × 1.00
  4. Step 4: Simplify right side
    1.15x = 1.57
  5. Step 5: Solve for x
    x = 1.57/1.15
  6. Step 6: Final answer
    x = 1.37

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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.